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Finding the Fourth Proportional to 10,983.20, 16,474.88 and 8,789.12

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Solution

The fourth proportional to 10,983.20, 16,474.88 and 8,789.12 is: 13,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.20 : 16,474.88 = 8,789.12 : x
  2. Step 2: Convert to fraction form
    10,983.20/16,474.88 = 8,789.12/x
  3. Step 3: Cross multiply
    10,983.20x = 16,474.88 × 8,789.12
  4. Step 4: Simplify right side
    10,983.20x = 144,799,697.31
  5. Step 5: Solve for x
    x = 144,799,697.31/10,983.20
  6. Step 6: Final answer
    x = 13,183.74

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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.