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Finding the Fourth Proportional to 10,135.57, 15,182.17 and 8,150.46

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Solution

The fourth proportional to 10,135.57, 15,182.17 and 8,150.46 is: 12,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.57 : 15,182.17 = 8,150.46 : x
  2. Step 2: Convert to fraction form
    10,135.57/15,182.17 = 8,150.46/x
  3. Step 3: Cross multiply
    10,135.57x = 15,182.17 × 8,150.46
  4. Step 4: Simplify right side
    10,135.57x = 123,741,686.88
  5. Step 5: Solve for x
    x = 123,741,686.88/10,135.57
  6. Step 6: Final answer
    x = 12,208.66

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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.