Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 148: 26

$x=\dfrac{28}{3}$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{x}{7}=\dfrac{4}{3} ,$ is \begin{array}{l}\require{cancel} x(3)=7(4) \\\\ 3x=28 \\\\ x=\dfrac{28}{3} .\end{array}