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Finding the Fourth Proportional to 8,517.84, 12,777.96 and 3,584.40

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Solution

The fourth proportional to 8,517.84, 12,777.96 and 3,584.40 is: 5,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.84 : 12,777.96 = 3,584.40 : x
  2. Step 2: Convert to fraction form
    8,517.84/12,777.96 = 3,584.40/x
  3. Step 3: Cross multiply
    8,517.84x = 12,777.96 × 3,584.40
  4. Step 4: Simplify right side
    8,517.84x = 45,801,319.82
  5. Step 5: Solve for x
    x = 45,801,319.82/8,517.84
  6. Step 6: Final answer
    x = 5,377.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.