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Finding the Fourth Proportional to 8,344.89, 11,517.12 and 5,369.22

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Solution

The fourth proportional to 8,344.89, 11,517.12 and 5,369.22 is: 7,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.89 : 11,517.12 = 5,369.22 : x
  2. Step 2: Convert to fraction form
    8,344.89/11,517.12 = 5,369.22/x
  3. Step 3: Cross multiply
    8,344.89x = 11,517.12 × 5,369.22
  4. Step 4: Simplify right side
    8,344.89x = 61,837,951.05
  5. Step 5: Solve for x
    x = 61,837,951.05/8,344.89
  6. Step 6: Final answer
    x = 7,410.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.