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Finding the Fourth Proportional to 11,049.92, 15,246.34 and 8,067.36

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Solution

The fourth proportional to 11,049.92, 15,246.34 and 8,067.36 is: 11,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.92 : 15,246.34 = 8,067.36 : x
  2. Step 2: Convert to fraction form
    11,049.92/15,246.34 = 8,067.36/x
  3. Step 3: Cross multiply
    11,049.92x = 15,246.34 × 8,067.36
  4. Step 4: Simplify right side
    11,049.92x = 122,997,713.46
  5. Step 5: Solve for x
    x = 122,997,713.46/11,049.92
  6. Step 6: Final answer
    x = 11,131.10

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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.