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Finding the Fourth Proportional to 10,711.60, 14,780.25 and 6,729.89

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Solution

The fourth proportional to 10,711.60, 14,780.25 and 6,729.89 is: 9,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.60 : 14,780.25 = 6,729.89 : x
  2. Step 2: Convert to fraction form
    10,711.60/14,780.25 = 6,729.89/x
  3. Step 3: Cross multiply
    10,711.60x = 14,780.25 × 6,729.89
  4. Step 4: Simplify right side
    10,711.60x = 99,469,382.77
  5. Step 5: Solve for x
    x = 99,469,382.77/10,711.60
  6. Step 6: Final answer
    x = 9,286.14

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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.