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Finding the Fourth Proportional to 10,752.90, 16,124.16 and 5,489.70

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Solution

The fourth proportional to 10,752.90, 16,124.16 and 5,489.70 is: 8,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.90 : 16,124.16 = 5,489.70 : x
  2. Step 2: Convert to fraction form
    10,752.90/16,124.16 = 5,489.70/x
  3. Step 3: Cross multiply
    10,752.90x = 16,124.16 × 5,489.70
  4. Step 4: Simplify right side
    10,752.90x = 88,516,801.15
  5. Step 5: Solve for x
    x = 88,516,801.15/10,752.90
  6. Step 6: Final answer
    x = 8,231.90

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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.