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Finding the Fourth Proportional to 11,131.80, 16,695 and 3,734.34

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Solution

The fourth proportional to 11,131.80, 16,695 and 3,734.34 is: 5,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.80 : 16,695 = 3,734.34 : x
  2. Step 2: Convert to fraction form
    11,131.80/16,695 = 3,734.34/x
  3. Step 3: Cross multiply
    11,131.80x = 16,695 × 3,734.34
  4. Step 4: Simplify right side
    11,131.80x = 62,344,806.30
  5. Step 5: Solve for x
    x = 62,344,806.30/11,131.80
  6. Step 6: Final answer
    x = 5,600.60

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