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Finding the Fourth Proportional to 8,381.47, 12,572.20 and 2,141.26

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Solution

The fourth proportional to 8,381.47, 12,572.20 and 2,141.26 is: 3,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.47 : 12,572.20 = 2,141.26 : x
  2. Step 2: Convert to fraction form
    8,381.47/12,572.20 = 2,141.26/x
  3. Step 3: Cross multiply
    8,381.47x = 12,572.20 × 2,141.26
  4. Step 4: Simplify right side
    8,381.47x = 26,920,348.97
  5. Step 5: Solve for x
    x = 26,920,348.97/8,381.47
  6. Step 6: Final answer
    x = 3,211.89

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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.