Finding the Fourth Proportional to 11,384, 15,709.92 and 6,416
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Solution
The fourth proportional to 11,384, 15,709.92 and 6,416 is: 8,854.08
Step by Step Solution
- Step 1: Write the proportion equation
11,384 : 15,709.92 = 6,416 : x - Step 2: Convert to fraction form
11,384/15,709.92 = 6,416/x - Step 3: Cross multiply
11,384x = 15,709.92 × 6,416 - Step 4: Simplify right side
11,384x = 100,794,846.72 - Step 5: Solve for x
x = 100,794,846.72/11,384 - Step 6: Final answer
x = 8,854.08
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.