#### Answer

Using Webster's method, each clinic is apportioned the following number of doctors:
Clinic A is apportioned 6 doctors.
Clinic B is apportioned 8 doctors.
Clinic C is apportioned 12 doctors.
Clinic D is apportioned 14 doctors.

#### Work Step by Step

Let's use a modified divisor of $d = 49.95$ to find the modified quota for each clinic.
Clinic A:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{275}{49.95}$
$modified~quota = 5.51$
Clinic B:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{392}{49.95}$
$modified~quota = 7.85$
Clinic C:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{611}{49.95}$
$modified~quota = 12.23$
Clinic D:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{724}{49.95}$
$modified~quota = 14.49$
Using Webster's method, the modified quota is rounded to the nearest whole number. Each clinic is apportioned the following number of doctors:
Clinic A is apportioned 6 doctors.
Clinic B is apportioned 8 doctors.
Clinic C is apportioned 12 doctors.
Clinic D is apportioned 14 doctors.
Note that the total number of doctors apportioned is 40, so using a modified divisor of 49.95 is acceptable.