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Finding the Fourth Proportional to 8,411.46, 12,617.90 and 2,171.42

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Solution

The fourth proportional to 8,411.46, 12,617.90 and 2,171.42 is: 3,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.46 : 12,617.90 = 2,171.42 : x
  2. Step 2: Convert to fraction form
    8,411.46/12,617.90 = 2,171.42/x
  3. Step 3: Cross multiply
    8,411.46x = 12,617.90 × 2,171.42
  4. Step 4: Simplify right side
    8,411.46x = 27,398,760.42
  5. Step 5: Solve for x
    x = 27,398,760.42/8,411.46
  6. Step 6: Final answer
    x = 3,257.31

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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.