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Finding the Fourth Proportional to 8,224.73, 11,342.96 and 5,829.97

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Solution

The fourth proportional to 8,224.73, 11,342.96 and 5,829.97 is: 8,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.73 : 11,342.96 = 5,829.97 : x
  2. Step 2: Convert to fraction form
    8,224.73/11,342.96 = 5,829.97/x
  3. Step 3: Cross multiply
    8,224.73x = 11,342.96 × 5,829.97
  4. Step 4: Simplify right side
    8,224.73x = 66,129,059.00
  5. Step 5: Solve for x
    x = 66,129,059.00/8,224.73
  6. Step 6: Final answer
    x = 8,040.27

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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.