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Finding the Fourth Proportional to 8,171.72, 12,257.96 and 2,328.72

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Solution

The fourth proportional to 8,171.72, 12,257.96 and 2,328.72 is: 3,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.72 : 12,257.96 = 2,328.72 : x
  2. Step 2: Convert to fraction form
    8,171.72/12,257.96 = 2,328.72/x
  3. Step 3: Cross multiply
    8,171.72x = 12,257.96 × 2,328.72
  4. Step 4: Simplify right side
    8,171.72x = 28,545,356.61
  5. Step 5: Solve for x
    x = 28,545,356.61/8,171.72
  6. Step 6: Final answer
    x = 3,493.19

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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.