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Finding the Fourth Proportional to 10,805.20, 16,207.84 and 7,514.96

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Solution

The fourth proportional to 10,805.20, 16,207.84 and 7,514.96 is: 11,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.20 : 16,207.84 = 7,514.96 : x
  2. Step 2: Convert to fraction form
    10,805.20/16,207.84 = 7,514.96/x
  3. Step 3: Cross multiply
    10,805.20x = 16,207.84 × 7,514.96
  4. Step 4: Simplify right side
    10,805.20x = 121,801,269.29
  5. Step 5: Solve for x
    x = 121,801,269.29/10,805.20
  6. Step 6: Final answer
    x = 11,272.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.