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Finding the Fourth Proportional to 11,677.50, 17,517.06 and 5,757.48

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Solution

The fourth proportional to 11,677.50, 17,517.06 and 5,757.48 is: 8,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.50 : 17,517.06 = 5,757.48 : x
  2. Step 2: Convert to fraction form
    11,677.50/17,517.06 = 5,757.48/x
  3. Step 3: Cross multiply
    11,677.50x = 17,517.06 × 5,757.48
  4. Step 4: Simplify right side
    11,677.50x = 100,854,122.61
  5. Step 5: Solve for x
    x = 100,854,122.61/11,677.50
  6. Step 6: Final answer
    x = 8,636.62

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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.