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Finding the Fourth Proportional to 7,714.43, 11,572.32 and 2,167.82

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Solution

The fourth proportional to 7,714.43, 11,572.32 and 2,167.82 is: 3,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.43 : 11,572.32 = 2,167.82 : x
  2. Step 2: Convert to fraction form
    7,714.43/11,572.32 = 2,167.82/x
  3. Step 3: Cross multiply
    7,714.43x = 11,572.32 × 2,167.82
  4. Step 4: Simplify right side
    7,714.43x = 25,086,743.80
  5. Step 5: Solve for x
    x = 25,086,743.80/7,714.43
  6. Step 6: Final answer
    x = 3,251.92

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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.