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Finding the Fourth Proportional to 8,084.44, 11,153.42 and 5,965.03

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Solution

The fourth proportional to 8,084.44, 11,153.42 and 5,965.03 is: 8,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.44 : 11,153.42 = 5,965.03 : x
  2. Step 2: Convert to fraction form
    8,084.44/11,153.42 = 5,965.03/x
  3. Step 3: Cross multiply
    8,084.44x = 11,153.42 × 5,965.03
  4. Step 4: Simplify right side
    8,084.44x = 66,530,462.20
  5. Step 5: Solve for x
    x = 66,530,462.20/8,084.44
  6. Step 6: Final answer
    x = 8,229.44

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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.