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Finding the Fourth Proportional to 7,768.60, 10,720.72 and 4,231.78

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Solution

The fourth proportional to 7,768.60, 10,720.72 and 4,231.78 is: 5,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.60 : 10,720.72 = 4,231.78 : x
  2. Step 2: Convert to fraction form
    7,768.60/10,720.72 = 4,231.78/x
  3. Step 3: Cross multiply
    7,768.60x = 10,720.72 × 4,231.78
  4. Step 4: Simplify right side
    7,768.60x = 45,367,728.48
  5. Step 5: Solve for x
    x = 45,367,728.48/7,768.60
  6. Step 6: Final answer
    x = 5,839.88

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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.