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Finding the Fourth Proportional to 11,517.59, 17,262.16 and 5,967.74

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Solution

The fourth proportional to 11,517.59, 17,262.16 and 5,967.74 is: 8,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.59 : 17,262.16 = 5,967.74 : x
  2. Step 2: Convert to fraction form
    11,517.59/17,262.16 = 5,967.74/x
  3. Step 3: Cross multiply
    11,517.59x = 17,262.16 × 5,967.74
  4. Step 4: Simplify right side
    11,517.59x = 103,016,082.72
  5. Step 5: Solve for x
    x = 103,016,082.72/11,517.59
  6. Step 6: Final answer
    x = 8,944.24

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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.