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Finding the Fourth Proportional to 6,744.50, 10,114.19 and 3,230.78

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Solution

The fourth proportional to 6,744.50, 10,114.19 and 3,230.78 is: 4,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.50 : 10,114.19 = 3,230.78 : x
  2. Step 2: Convert to fraction form
    6,744.50/10,114.19 = 3,230.78/x
  3. Step 3: Cross multiply
    6,744.50x = 10,114.19 × 3,230.78
  4. Step 4: Simplify right side
    6,744.50x = 32,676,727.03
  5. Step 5: Solve for x
    x = 32,676,727.03/6,744.50
  6. Step 6: Final answer
    x = 4,844.94

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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.