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Finding the Fourth Proportional to 7,691.89, 11,537.82 and 2,497.75

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Solution

The fourth proportional to 7,691.89, 11,537.82 and 2,497.75 is: 3,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.89 : 11,537.82 = 2,497.75 : x
  2. Step 2: Convert to fraction form
    7,691.89/11,537.82 = 2,497.75/x
  3. Step 3: Cross multiply
    7,691.89x = 11,537.82 × 2,497.75
  4. Step 4: Simplify right side
    7,691.89x = 28,818,589.91
  5. Step 5: Solve for x
    x = 28,818,589.91/7,691.89
  6. Step 6: Final answer
    x = 3,746.62

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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.