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Finding the Fourth Proportional to 8,517.76, 12,777.18 and 2,674.60

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Solution

The fourth proportional to 8,517.76, 12,777.18 and 2,674.60 is: 4,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.76 : 12,777.18 = 2,674.60 : x
  2. Step 2: Convert to fraction form
    8,517.76/12,777.18 = 2,674.60/x
  3. Step 3: Cross multiply
    8,517.76x = 12,777.18 × 2,674.60
  4. Step 4: Simplify right side
    8,517.76x = 34,173,868.29
  5. Step 5: Solve for x
    x = 34,173,868.29/8,517.76
  6. Step 6: Final answer
    x = 4,012.07

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Why These Related Problems?

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