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Finding the Fourth Proportional to 11,447.76, 17,171.49 and 3,127.61

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Solution

The fourth proportional to 11,447.76, 17,171.49 and 3,127.61 is: 4,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.76 : 17,171.49 = 3,127.61 : x
  2. Step 2: Convert to fraction form
    11,447.76/17,171.49 = 3,127.61/x
  3. Step 3: Cross multiply
    11,447.76x = 17,171.49 × 3,127.61
  4. Step 4: Simplify right side
    11,447.76x = 53,705,778.50
  5. Step 5: Solve for x
    x = 53,705,778.50/11,447.76
  6. Step 6: Final answer
    x = 4,691.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.