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Finding the Fourth Proportional to 11,462.52, 17,193.80 and 3,142.61

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Solution

The fourth proportional to 11,462.52, 17,193.80 and 3,142.61 is: 4,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.52 : 17,193.80 = 3,142.61 : x
  2. Step 2: Convert to fraction form
    11,462.52/17,193.80 = 3,142.61/x
  3. Step 3: Cross multiply
    11,462.52x = 17,193.80 × 3,142.61
  4. Step 4: Simplify right side
    11,462.52x = 54,033,407.82
  5. Step 5: Solve for x
    x = 54,033,407.82/11,462.52
  6. Step 6: Final answer
    x = 4,713.92

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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.