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Finding the Fourth Proportional to 11,034.38, 15,227.78 and 6,254.21

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Solution

The fourth proportional to 11,034.38, 15,227.78 and 6,254.21 is: 8,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.38 : 15,227.78 = 6,254.21 : x
  2. Step 2: Convert to fraction form
    11,034.38/15,227.78 = 6,254.21/x
  3. Step 3: Cross multiply
    11,034.38x = 15,227.78 × 6,254.21
  4. Step 4: Simplify right side
    11,034.38x = 95,237,626.54
  5. Step 5: Solve for x
    x = 95,237,626.54/11,034.38
  6. Step 6: Final answer
    x = 8,630.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.