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Finding the Fourth Proportional to 6,839.50, 10,255.18 and 2,674.68

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Solution

The fourth proportional to 6,839.50, 10,255.18 and 2,674.68 is: 4,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.50 : 10,255.18 = 2,674.68 : x
  2. Step 2: Convert to fraction form
    6,839.50/10,255.18 = 2,674.68/x
  3. Step 3: Cross multiply
    6,839.50x = 10,255.18 × 2,674.68
  4. Step 4: Simplify right side
    6,839.50x = 27,429,324.84
  5. Step 5: Solve for x
    x = 27,429,324.84/6,839.50
  6. Step 6: Final answer
    x = 4,010.43

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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.