Chapter 6, Problem 11CT

To determine

To solve : the proportion $\frac{7}{8}=\frac{z}{12}$

Answer to Problem 11CT

The solution of the proportion $\frac{7}{8}=\frac{z}{12}$ is $z=\frac{21}{2}$

Explanation of Solution

Given information :

Consider, the proportion

  $\frac{7}{8}=\frac{z}{12}$

Calculation:

Therefore, the solution of proportion is

  $\begin{array}{l}\frac{7}{8}=\frac{z}{12}\\ 7\cdot 12=z\cdot 8\left[\text{cross product property}\right]\\ 84b=z\text{8 }\left[\text{multiply}\right]\\ \frac{21}{2}=z\left[\text{divide both side with 8}\right]\end{array}$

Hence,The solution of the proportion $\frac{7}{8}=\frac{z}{12}$ is $z=\frac{21}{2}$