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Finding the Fourth Proportional to 7,744.20, 10,683 and 4,906.80

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Solution

The fourth proportional to 7,744.20, 10,683 and 4,906.80 is: 6,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.20 : 10,683 = 4,906.80 : x
  2. Step 2: Convert to fraction form
    7,744.20/10,683 = 4,906.80/x
  3. Step 3: Cross multiply
    7,744.20x = 10,683 × 4,906.80
  4. Step 4: Simplify right side
    7,744.20x = 52,419,344.40
  5. Step 5: Solve for x
    x = 52,419,344.40/7,744.20
  6. Step 6: Final answer
    x = 6,768.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.