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Finding the Fourth Proportional to 10,711.52, 14,780.12 and 6,729.80

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Solution

The fourth proportional to 10,711.52, 14,780.12 and 6,729.80 is: 9,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.52 : 14,780.12 = 6,729.80 : x
  2. Step 2: Convert to fraction form
    10,711.52/14,780.12 = 6,729.80/x
  3. Step 3: Cross multiply
    10,711.52x = 14,780.12 × 6,729.80
  4. Step 4: Simplify right side
    10,711.52x = 99,467,251.58
  5. Step 5: Solve for x
    x = 99,467,251.58/10,711.52
  6. Step 6: Final answer
    x = 9,286.01

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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.