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Finding the Fourth Proportional to 10,149.17, 15,220.91 and 4,301.78

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Solution

The fourth proportional to 10,149.17, 15,220.91 and 4,301.78 is: 6,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.17 : 15,220.91 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    10,149.17/15,220.91 = 4,301.78/x
  3. Step 3: Cross multiply
    10,149.17x = 15,220.91 × 4,301.78
  4. Step 4: Simplify right side
    10,149.17x = 65,476,940.87
  5. Step 5: Solve for x
    x = 65,476,940.87/10,149.17
  6. Step 6: Final answer
    x = 6,451.46

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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.