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Finding the Fourth Proportional to 11,449.68, 15,778.44 and 8,131.92

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Solution

The fourth proportional to 11,449.68, 15,778.44 and 8,131.92 is: 11,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.68 : 15,778.44 = 8,131.92 : x
  2. Step 2: Convert to fraction form
    11,449.68/15,778.44 = 8,131.92/x
  3. Step 3: Cross multiply
    11,449.68x = 15,778.44 × 8,131.92
  4. Step 4: Simplify right side
    11,449.68x = 128,309,011.80
  5. Step 5: Solve for x
    x = 128,309,011.80/11,449.68
  6. Step 6: Final answer
    x = 11,206.34

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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.