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Finding the Fourth Proportional to 11,591.08, 17,394.78 and 7,211.56

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Solution

The fourth proportional to 11,591.08, 17,394.78 and 7,211.56 is: 10,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.08 : 17,394.78 = 7,211.56 : x
  2. Step 2: Convert to fraction form
    11,591.08/17,394.78 = 7,211.56/x
  3. Step 3: Cross multiply
    11,591.08x = 17,394.78 × 7,211.56
  4. Step 4: Simplify right side
    11,591.08x = 125,443,499.66
  5. Step 5: Solve for x
    x = 125,443,499.66/11,591.08
  6. Step 6: Final answer
    x = 10,822.42

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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.