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Finding the Fourth Proportional to 8,414.68, 11,616.20 and 4,877.24

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Solution

The fourth proportional to 8,414.68, 11,616.20 and 4,877.24 is: 6,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.68 : 11,616.20 = 4,877.24 : x
  2. Step 2: Convert to fraction form
    8,414.68/11,616.20 = 4,877.24/x
  3. Step 3: Cross multiply
    8,414.68x = 11,616.20 × 4,877.24
  4. Step 4: Simplify right side
    8,414.68x = 56,654,995.29
  5. Step 5: Solve for x
    x = 56,654,995.29/8,414.68
  6. Step 6: Final answer
    x = 6,732.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.