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Finding the Fourth Proportional to 10,138.57, 15,205.12 and 3,561.17

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Solution

The fourth proportional to 10,138.57, 15,205.12 and 3,561.17 is: 5,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.57 : 15,205.12 = 3,561.17 : x
  2. Step 2: Convert to fraction form
    10,138.57/15,205.12 = 3,561.17/x
  3. Step 3: Cross multiply
    10,138.57x = 15,205.12 × 3,561.17
  4. Step 4: Simplify right side
    10,138.57x = 54,147,932.26
  5. Step 5: Solve for x
    x = 54,147,932.26/10,138.57
  6. Step 6: Final answer
    x = 5,340.79

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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.