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Finding the Fourth Proportional to 8,171.29, 12,256.87 and 2,327.89

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Solution

The fourth proportional to 8,171.29, 12,256.87 and 2,327.89 is: 3,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.29 : 12,256.87 = 2,327.89 : x
  2. Step 2: Convert to fraction form
    8,171.29/12,256.87 = 2,327.89/x
  3. Step 3: Cross multiply
    8,171.29x = 12,256.87 × 2,327.89
  4. Step 4: Simplify right side
    8,171.29x = 28,532,645.10
  5. Step 5: Solve for x
    x = 28,532,645.10/8,171.29
  6. Step 6: Final answer
    x = 3,491.82

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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.