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Finding the Fourth Proportional to 11,672.50, 17,508.91 and 3,881.32

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Solution

The fourth proportional to 11,672.50, 17,508.91 and 3,881.32 is: 5,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.50 : 17,508.91 = 3,881.32 : x
  2. Step 2: Convert to fraction form
    11,672.50/17,508.91 = 3,881.32/x
  3. Step 3: Cross multiply
    11,672.50x = 17,508.91 × 3,881.32
  4. Step 4: Simplify right side
    11,672.50x = 67,957,575.61
  5. Step 5: Solve for x
    x = 67,957,575.61/11,672.50
  6. Step 6: Final answer
    x = 5,822.02

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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.