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Finding the Fourth Proportional to 11,542.66, 17,314.82 and 4,147.18

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Solution

The fourth proportional to 11,542.66, 17,314.82 and 4,147.18 is: 6,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.66 : 17,314.82 = 4,147.18 : x
  2. Step 2: Convert to fraction form
    11,542.66/17,314.82 = 4,147.18/x
  3. Step 3: Cross multiply
    11,542.66x = 17,314.82 × 4,147.18
  4. Step 4: Simplify right side
    11,542.66x = 71,807,675.21
  5. Step 5: Solve for x
    x = 71,807,675.21/11,542.66
  6. Step 6: Final answer
    x = 6,221.07

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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.