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Finding the Fourth Proportional to 11,691.56, 17,542.47 and 6,143.61

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Solution

The fourth proportional to 11,691.56, 17,542.47 and 6,143.61 is: 9,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.56 : 17,542.47 = 6,143.61 : x
  2. Step 2: Convert to fraction form
    11,691.56/17,542.47 = 6,143.61/x
  3. Step 3: Cross multiply
    11,691.56x = 17,542.47 × 6,143.61
  4. Step 4: Simplify right side
    11,691.56x = 107,774,094.12
  5. Step 5: Solve for x
    x = 107,774,094.12/11,691.56
  6. Step 6: Final answer
    x = 9,218.11

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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.