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Finding the Fourth Proportional to 7,744.20, 11,640.60 and 7,306.80

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Solution

The fourth proportional to 7,744.20, 11,640.60 and 7,306.80 is: 10,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.20 : 11,640.60 = 7,306.80 : x
  2. Step 2: Convert to fraction form
    7,744.20/11,640.60 = 7,306.80/x
  3. Step 3: Cross multiply
    7,744.20x = 11,640.60 × 7,306.80
  4. Step 4: Simplify right side
    7,744.20x = 85,055,536.08
  5. Step 5: Solve for x
    x = 85,055,536.08/7,744.20
  6. Step 6: Final answer
    x = 10,983.13

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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.