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Finding the Fourth Proportional to 11,487.92, 17,231.87 and 3,167.66

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Solution

The fourth proportional to 11,487.92, 17,231.87 and 3,167.66 is: 4,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.92 : 17,231.87 = 3,167.66 : x
  2. Step 2: Convert to fraction form
    11,487.92/17,231.87 = 3,167.66/x
  3. Step 3: Cross multiply
    11,487.92x = 17,231.87 × 3,167.66
  4. Step 4: Simplify right side
    11,487.92x = 54,584,756.32
  5. Step 5: Solve for x
    x = 54,584,756.32/11,487.92
  6. Step 6: Final answer
    x = 4,751.49

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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.