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Finding the Fourth Proportional to 12,086.47, 16,680.02 and 6,781.75

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Solution

The fourth proportional to 12,086.47, 16,680.02 and 6,781.75 is: 9,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.47 : 16,680.02 = 6,781.75 : x
  2. Step 2: Convert to fraction form
    12,086.47/16,680.02 = 6,781.75/x
  3. Step 3: Cross multiply
    12,086.47x = 16,680.02 × 6,781.75
  4. Step 4: Simplify right side
    12,086.47x = 113,119,691.73
  5. Step 5: Solve for x
    x = 113,119,691.73/12,086.47
  6. Step 6: Final answer
    x = 9,359.20

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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.