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Finding the Fourth Proportional to 10,165.79, 15,250.31 and 3,145.52

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Solution

The fourth proportional to 10,165.79, 15,250.31 and 3,145.52 is: 4,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.79 : 15,250.31 = 3,145.52 : x
  2. Step 2: Convert to fraction form
    10,165.79/15,250.31 = 3,145.52/x
  3. Step 3: Cross multiply
    10,165.79x = 15,250.31 × 3,145.52
  4. Step 4: Simplify right side
    10,165.79x = 47,970,063.13
  5. Step 5: Solve for x
    x = 47,970,063.13/10,165.79
  6. Step 6: Final answer
    x = 4,718.78

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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.