#### Answer

Using Jefferson's method, each clinic is apportioned the following number of doctors:
Clinic A is apportioned 5 doctors.
Clinic B is apportioned 8 doctors.
Clinic C is apportioned 12 doctors.
Clinic D is apportioned 15 doctors.

#### Work Step by Step

Let's use a modified divisor of $d = 48$ to find the modified quota for each clinic.
Clinic A:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{275}{48}$
$modified~quota = 5.73$
Clinic B:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{392}{48}$
$modified~quota = 8.17$
Clinic C:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{611}{48}$
$modified~quota = 12.73$
Clinic D:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{724}{48}$
$modified~quota = 15.08$
Using Jefferson's method, the modified quota is rounded down to the nearest whole number. Each clinic is apportioned the following number of doctors:
Clinic A is apportioned 5 doctors.
Clinic B is apportioned 8 doctors.
Clinic C is apportioned 12 doctors.
Clinic D is apportioned 15 doctors.
Note that the total number of doctors apportioned is 40, so using a modified divisor of 48 is acceptable.