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Finding the Fourth Proportional to 6,321.60, 8,727.12 and 4,086.78

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Solution

The fourth proportional to 6,321.60, 8,727.12 and 4,086.78 is: 5,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.60 : 8,727.12 = 4,086.78 : x
  2. Step 2: Convert to fraction form
    6,321.60/8,727.12 = 4,086.78/x
  3. Step 3: Cross multiply
    6,321.60x = 8,727.12 × 4,086.78
  4. Step 4: Simplify right side
    6,321.60x = 35,665,819.47
  5. Step 5: Solve for x
    x = 35,665,819.47/6,321.60
  6. Step 6: Final answer
    x = 5,641.90

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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.