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Finding the Fourth Proportional to 10,147.16, 15,221.12 and 4,952.88

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Solution

The fourth proportional to 10,147.16, 15,221.12 and 4,952.88 is: 7,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.16 : 15,221.12 = 4,952.88 : x
  2. Step 2: Convert to fraction form
    10,147.16/15,221.12 = 4,952.88/x
  3. Step 3: Cross multiply
    10,147.16x = 15,221.12 × 4,952.88
  4. Step 4: Simplify right side
    10,147.16x = 75,388,380.83
  5. Step 5: Solve for x
    x = 75,388,380.83/10,147.16
  6. Step 6: Final answer
    x = 7,429.51

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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.