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Finding the Fourth Proportional to 8,663.97, 13,000.92 and 8,593.50

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Solution

The fourth proportional to 8,663.97, 13,000.92 and 8,593.50 is: 12,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.97 : 13,000.92 = 8,593.50 : x
  2. Step 2: Convert to fraction form
    8,663.97/13,000.92 = 8,593.50/x
  3. Step 3: Cross multiply
    8,663.97x = 13,000.92 × 8,593.50
  4. Step 4: Simplify right side
    8,663.97x = 111,723,406.02
  5. Step 5: Solve for x
    x = 111,723,406.02/8,663.97
  6. Step 6: Final answer
    x = 12,895.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.