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Finding the Fourth Proportional to 8,092.25, 12,132.18 and 2,542.39

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Solution

The fourth proportional to 8,092.25, 12,132.18 and 2,542.39 is: 3,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.25 : 12,132.18 = 2,542.39 : x
  2. Step 2: Convert to fraction form
    8,092.25/12,132.18 = 2,542.39/x
  3. Step 3: Cross multiply
    8,092.25x = 12,132.18 × 2,542.39
  4. Step 4: Simplify right side
    8,092.25x = 30,844,733.11
  5. Step 5: Solve for x
    x = 30,844,733.11/8,092.25
  6. Step 6: Final answer
    x = 3,811.64

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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.