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Finding the Fourth Proportional to 8,396.87, 11,584.35 and 5,414.45

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Solution

The fourth proportional to 8,396.87, 11,584.35 and 5,414.45 is: 7,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.87 : 11,584.35 = 5,414.45 : x
  2. Step 2: Convert to fraction form
    8,396.87/11,584.35 = 5,414.45/x
  3. Step 3: Cross multiply
    8,396.87x = 11,584.35 × 5,414.45
  4. Step 4: Simplify right side
    8,396.87x = 62,722,825.94
  5. Step 5: Solve for x
    x = 62,722,825.94/8,396.87
  6. Step 6: Final answer
    x = 7,469.79

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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.