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Finding the Fourth Proportional to 11,228, 15,494.43 and 6,192.69

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Solution

The fourth proportional to 11,228, 15,494.43 and 6,192.69 is: 8,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228 : 15,494.43 = 6,192.69 : x
  2. Step 2: Convert to fraction form
    11,228/15,494.43 = 6,192.69/x
  3. Step 3: Cross multiply
    11,228x = 15,494.43 × 6,192.69
  4. Step 4: Simplify right side
    11,228x = 95,952,201.72
  5. Step 5: Solve for x
    x = 95,952,201.72/11,228
  6. Step 6: Final answer
    x = 8,545.80

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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.