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Finding the Fourth Proportional to 8,102.57, 12,154.85 and 3,171.56

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Solution

The fourth proportional to 8,102.57, 12,154.85 and 3,171.56 is: 4,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.57 : 12,154.85 = 3,171.56 : x
  2. Step 2: Convert to fraction form
    8,102.57/12,154.85 = 3,171.56/x
  3. Step 3: Cross multiply
    8,102.57x = 12,154.85 × 3,171.56
  4. Step 4: Simplify right side
    8,102.57x = 38,549,759.43
  5. Step 5: Solve for x
    x = 38,549,759.43/8,102.57
  6. Step 6: Final answer
    x = 4,757.72

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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.