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Finding the Fourth Proportional to 8,542.97, 12,832.67 and 8,043.60

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Solution

The fourth proportional to 8,542.97, 12,832.67 and 8,043.60 is: 12,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.97 : 12,832.67 = 8,043.60 : x
  2. Step 2: Convert to fraction form
    8,542.97/12,832.67 = 8,043.60/x
  3. Step 3: Cross multiply
    8,542.97x = 12,832.67 × 8,043.60
  4. Step 4: Simplify right side
    8,542.97x = 103,220,824.19
  5. Step 5: Solve for x
    x = 103,220,824.19/8,542.97
  6. Step 6: Final answer
    x = 12,082.55

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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.