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Finding the Fourth Proportional to 10,147.56, 15,221.16 and 3,908.93

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Solution

The fourth proportional to 10,147.56, 15,221.16 and 3,908.93 is: 5,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.56 : 15,221.16 = 3,908.93 : x
  2. Step 2: Convert to fraction form
    10,147.56/15,221.16 = 3,908.93/x
  3. Step 3: Cross multiply
    10,147.56x = 15,221.16 × 3,908.93
  4. Step 4: Simplify right side
    10,147.56x = 59,498,372.85
  5. Step 5: Solve for x
    x = 59,498,372.85/10,147.56
  6. Step 6: Final answer
    x = 5,863.32

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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.