## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 5 - Ratio and Proportion - Review Exercises - Page 376: 14

Ans: x = 10.5

#### Work Step by Step

$\frac{2\frac{1}{3}}{x} = \frac{\frac{8}{9}}{4}$ We need to find the unknown Number in the proportion. Now, we need to find the cross product i.e. $2\frac{1}{3} \times 4 = \frac{8}{9} \times x$ $\frac{7}{3} \times 4 = \frac{8}{9} \times x$ $\frac{28}{3} = \frac{8}{9} \times x$ Divide both sides by $\frac{8}{9}$ i.e. $\frac{\frac{28}{3}}{\frac{8}{9}} = \frac{\frac{8}{9} \times x}{\frac{8}{9}}$ so, $x = \frac{28}{3} \times \frac{9}{8}$ $x = \frac{252}{24} = 10.5$

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