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Finding the Fourth Proportional to 11,227.95, 15,494.69 and 6,192.38

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Solution

The fourth proportional to 11,227.95, 15,494.69 and 6,192.38 is: 8,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.95 : 15,494.69 = 6,192.38 : x
  2. Step 2: Convert to fraction form
    11,227.95/15,494.69 = 6,192.38/x
  3. Step 3: Cross multiply
    11,227.95x = 15,494.69 × 6,192.38
  4. Step 4: Simplify right side
    11,227.95x = 95,949,062.68
  5. Step 5: Solve for x
    x = 95,949,062.68/11,227.95
  6. Step 6: Final answer
    x = 8,545.55

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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.