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Finding the Fourth Proportional to 8,463.89, 12,697.31 and 3,537

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Solution

The fourth proportional to 8,463.89, 12,697.31 and 3,537 is: 5,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.89 : 12,697.31 = 3,537 : x
  2. Step 2: Convert to fraction form
    8,463.89/12,697.31 = 3,537/x
  3. Step 3: Cross multiply
    8,463.89x = 12,697.31 × 3,537
  4. Step 4: Simplify right side
    8,463.89x = 44,910,394.31
  5. Step 5: Solve for x
    x = 44,910,394.31/8,463.89
  6. Step 6: Final answer
    x = 5,306.12

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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.