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Finding the Fourth Proportional to 8,151.97, 12,220.67 and 3,989.38

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Solution

The fourth proportional to 8,151.97, 12,220.67 and 3,989.38 is: 5,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.97 : 12,220.67 = 3,989.38 : x
  2. Step 2: Convert to fraction form
    8,151.97/12,220.67 = 3,989.38/x
  3. Step 3: Cross multiply
    8,151.97x = 12,220.67 × 3,989.38
  4. Step 4: Simplify right side
    8,151.97x = 48,752,876.54
  5. Step 5: Solve for x
    x = 48,752,876.54/8,151.97
  6. Step 6: Final answer
    x = 5,980.50

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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.