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Finding the Fourth Proportional to 8,517.28, 12,777.84 and 2,594.70

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Solution

The fourth proportional to 8,517.28, 12,777.84 and 2,594.70 is: 3,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.28 : 12,777.84 = 2,594.70 : x
  2. Step 2: Convert to fraction form
    8,517.28/12,777.84 = 2,594.70/x
  3. Step 3: Cross multiply
    8,517.28x = 12,777.84 × 2,594.70
  4. Step 4: Simplify right side
    8,517.28x = 33,154,661.45
  5. Step 5: Solve for x
    x = 33,154,661.45/8,517.28
  6. Step 6: Final answer
    x = 3,892.63

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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.