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Finding the Fourth Proportional to 10,150.98, 15,227.04 and 3,825.78

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Solution

The fourth proportional to 10,150.98, 15,227.04 and 3,825.78 is: 5,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.98 : 15,227.04 = 3,825.78 : x
  2. Step 2: Convert to fraction form
    10,150.98/15,227.04 = 3,825.78/x
  3. Step 3: Cross multiply
    10,150.98x = 15,227.04 × 3,825.78
  4. Step 4: Simplify right side
    10,150.98x = 58,255,305.09
  5. Step 5: Solve for x
    x = 58,255,305.09/10,150.98
  6. Step 6: Final answer
    x = 5,738.88

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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.