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Finding the Fourth Proportional to 10,575.20, 15,843.60 and 8,616.80

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Solution

The fourth proportional to 10,575.20, 15,843.60 and 8,616.80 is: 12,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.20 : 15,843.60 = 8,616.80 : x
  2. Step 2: Convert to fraction form
    10,575.20/15,843.60 = 8,616.80/x
  3. Step 3: Cross multiply
    10,575.20x = 15,843.60 × 8,616.80
  4. Step 4: Simplify right side
    10,575.20x = 136,521,132.48
  5. Step 5: Solve for x
    x = 136,521,132.48/10,575.20
  6. Step 6: Final answer
    x = 12,909.56

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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.