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Finding the Fourth Proportional to 10,040.72, 15,049.52 and 5,414

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Solution

The fourth proportional to 10,040.72, 15,049.52 and 5,414 is: 8,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.72 : 15,049.52 = 5,414 : x
  2. Step 2: Convert to fraction form
    10,040.72/15,049.52 = 5,414/x
  3. Step 3: Cross multiply
    10,040.72x = 15,049.52 × 5,414
  4. Step 4: Simplify right side
    10,040.72x = 81,478,101.28
  5. Step 5: Solve for x
    x = 81,478,101.28/10,040.72
  6. Step 6: Final answer
    x = 8,114.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.