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Finding the Fourth Proportional to 6,744.69, 10,110.42 and 3,233.70

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Solution

The fourth proportional to 6,744.69, 10,110.42 and 3,233.70 is: 4,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.69 : 10,110.42 = 3,233.70 : x
  2. Step 2: Convert to fraction form
    6,744.69/10,110.42 = 3,233.70/x
  3. Step 3: Cross multiply
    6,744.69x = 10,110.42 × 3,233.70
  4. Step 4: Simplify right side
    6,744.69x = 32,694,065.15
  5. Step 5: Solve for x
    x = 32,694,065.15/6,744.69
  6. Step 6: Final answer
    x = 4,847.38

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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.