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Finding the Fourth Proportional to 8,517.48, 12,777.84 and 4,137

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Solution

The fourth proportional to 8,517.48, 12,777.84 and 4,137 is: 6,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.48 : 12,777.84 = 4,137 : x
  2. Step 2: Convert to fraction form
    8,517.48/12,777.84 = 4,137/x
  3. Step 3: Cross multiply
    8,517.48x = 12,777.84 × 4,137
  4. Step 4: Simplify right side
    8,517.48x = 52,861,924.08
  5. Step 5: Solve for x
    x = 52,861,924.08/8,517.48
  6. Step 6: Final answer
    x = 6,206.29

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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.