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Finding the Fourth Proportional to 8,534.97, 11,759.99 and 5,735.61

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Solution

The fourth proportional to 8,534.97, 11,759.99 and 5,735.61 is: 7,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.97 : 11,759.99 = 5,735.61 : x
  2. Step 2: Convert to fraction form
    8,534.97/11,759.99 = 5,735.61/x
  3. Step 3: Cross multiply
    8,534.97x = 11,759.99 × 5,735.61
  4. Step 4: Simplify right side
    8,534.97x = 67,450,687.57
  5. Step 5: Solve for x
    x = 67,450,687.57/8,534.97
  6. Step 6: Final answer
    x = 7,902.86

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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.