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Finding the Fourth Proportional to 7,691.43, 11,534.31 and 2,759.88

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Solution

The fourth proportional to 7,691.43, 11,534.31 and 2,759.88 is: 4,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.43 : 11,534.31 = 2,759.88 : x
  2. Step 2: Convert to fraction form
    7,691.43/11,534.31 = 2,759.88/x
  3. Step 3: Cross multiply
    7,691.43x = 11,534.31 × 2,759.88
  4. Step 4: Simplify right side
    7,691.43x = 31,833,311.48
  5. Step 5: Solve for x
    x = 31,833,311.48/7,691.43
  6. Step 6: Final answer
    x = 4,138.80

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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.