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Finding the Fourth Proportional to 8,239.48, 11,361.96 and 5,724.44

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Solution

The fourth proportional to 8,239.48, 11,361.96 and 5,724.44 is: 7,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.48 : 11,361.96 = 5,724.44 : x
  2. Step 2: Convert to fraction form
    8,239.48/11,361.96 = 5,724.44/x
  3. Step 3: Cross multiply
    8,239.48x = 11,361.96 × 5,724.44
  4. Step 4: Simplify right side
    8,239.48x = 65,040,858.30
  5. Step 5: Solve for x
    x = 65,040,858.30/8,239.48
  6. Step 6: Final answer
    x = 7,893.81

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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.