# The solution of the given proportion. The given proportion is:\frac{10}{15}=\frac{4}{x-5}

The solution of the given proportion.
The given proportion is:
$$\displaystyle{\frac{{{10}}}{{{15}}}}={\frac{{{4}}}{{{x}-{5}}}}$$

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Calculation:
The given ratios can be simplified further by doing cross product:
$$\displaystyle{\frac{{{10}}}{{{15}}}}={\frac{{{4}}}{{{x}-{5}}}}$$
$$\displaystyle{10}{\left({x}-{5}\right)}={4}{\left({15}\right)}$$
$$\displaystyle{10}{x}-{50}={60}$$
$$\displaystyle{10}{x}={60}+{50}$$
$$\displaystyle{10}{x}={110}$$
$$\displaystyle{\frac{{{10}{x}}}{{{10}}}}={\frac{{{110}}}{{{10}}}}$$
$$\displaystyle{x}={11}$$
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