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Finding the Fourth Proportional to 11,337.16, 17,009.34 and 5,791.96

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Solution

The fourth proportional to 11,337.16, 17,009.34 and 5,791.96 is: 8,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.16 : 17,009.34 = 5,791.96 : x
  2. Step 2: Convert to fraction form
    11,337.16/17,009.34 = 5,791.96/x
  3. Step 3: Cross multiply
    11,337.16x = 17,009.34 × 5,791.96
  4. Step 4: Simplify right side
    11,337.16x = 98,517,416.91
  5. Step 5: Solve for x
    x = 98,517,416.91/11,337.16
  6. Step 6: Final answer
    x = 8,689.78

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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.