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Finding the Fourth Proportional to 8,101.97, 12,155.00 and 3,423.15

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Solution

The fourth proportional to 8,101.97, 12,155.00 and 3,423.15 is: 5,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.97 : 12,155.00 = 3,423.15 : x
  2. Step 2: Convert to fraction form
    8,101.97/12,155.00 = 3,423.15/x
  3. Step 3: Cross multiply
    8,101.97x = 12,155.00 × 3,423.15
  4. Step 4: Simplify right side
    8,101.97x = 41,608,371.13
  5. Step 5: Solve for x
    x = 41,608,371.13/8,101.97
  6. Step 6: Final answer
    x = 5,135.59

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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.