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Finding the Fourth Proportional to 10,520.47, 15,780.71 and 9,299.80

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Solution

The fourth proportional to 10,520.47, 15,780.71 and 9,299.80 is: 13,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.47 : 15,780.71 = 9,299.80 : x
  2. Step 2: Convert to fraction form
    10,520.47/15,780.71 = 9,299.80/x
  3. Step 3: Cross multiply
    10,520.47x = 15,780.71 × 9,299.80
  4. Step 4: Simplify right side
    10,520.47x = 146,757,446.86
  5. Step 5: Solve for x
    x = 146,757,446.86/10,520.47
  6. Step 6: Final answer
    x = 13,949.70

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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.