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Finding the Fourth Proportional to 10,142.88, 15,215.04 and 2,747.40

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Solution

The fourth proportional to 10,142.88, 15,215.04 and 2,747.40 is: 4,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.88 : 15,215.04 = 2,747.40 : x
  2. Step 2: Convert to fraction form
    10,142.88/15,215.04 = 2,747.40/x
  3. Step 3: Cross multiply
    10,142.88x = 15,215.04 × 2,747.40
  4. Step 4: Simplify right side
    10,142.88x = 41,801,800.90
  5. Step 5: Solve for x
    x = 41,801,800.90/10,142.88
  6. Step 6: Final answer
    x = 4,121.30

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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.