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Finding the Fourth Proportional to 7,768.56, 10,720.78 and 4,231.76

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Solution

The fourth proportional to 7,768.56, 10,720.78 and 4,231.76 is: 5,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.56 : 10,720.78 = 4,231.76 : x
  2. Step 2: Convert to fraction form
    7,768.56/10,720.78 = 4,231.76/x
  3. Step 3: Cross multiply
    7,768.56x = 10,720.78 × 4,231.76
  4. Step 4: Simplify right side
    7,768.56x = 45,367,767.97
  5. Step 5: Solve for x
    x = 45,367,767.97/7,768.56
  6. Step 6: Final answer
    x = 5,839.92

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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.