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Finding the Fourth Proportional to 8,892.31, 12,262.17 and 7,637.50

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Solution

The fourth proportional to 8,892.31, 12,262.17 and 7,637.50 is: 10,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.31 : 12,262.17 = 7,637.50 : x
  2. Step 2: Convert to fraction form
    8,892.31/12,262.17 = 7,637.50/x
  3. Step 3: Cross multiply
    8,892.31x = 12,262.17 × 7,637.50
  4. Step 4: Simplify right side
    8,892.31x = 93,652,323.38
  5. Step 5: Solve for x
    x = 93,652,323.38/8,892.31
  6. Step 6: Final answer
    x = 10,531.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.