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Finding the Fourth Proportional to 8,411.72, 12,617.76 and 2,171.86

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Solution

The fourth proportional to 8,411.72, 12,617.76 and 2,171.86 is: 3,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.72 : 12,617.76 = 2,171.86 : x
  2. Step 2: Convert to fraction form
    8,411.72/12,617.76 = 2,171.86/x
  3. Step 3: Cross multiply
    8,411.72x = 12,617.76 × 2,171.86
  4. Step 4: Simplify right side
    8,411.72x = 27,404,008.23
  5. Step 5: Solve for x
    x = 27,404,008.23/8,411.72
  6. Step 6: Final answer
    x = 3,257.84

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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.