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Finding the Fourth Proportional to 7,768.64, 10,720.73 and 4,231.85

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Solution

The fourth proportional to 7,768.64, 10,720.73 and 4,231.85 is: 5,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.64 : 10,720.73 = 4,231.85 : x
  2. Step 2: Convert to fraction form
    7,768.64/10,720.73 = 4,231.85/x
  3. Step 3: Cross multiply
    7,768.64x = 10,720.73 × 4,231.85
  4. Step 4: Simplify right side
    7,768.64x = 45,368,508.78
  5. Step 5: Solve for x
    x = 45,368,508.78/7,768.64
  6. Step 6: Final answer
    x = 5,839.96

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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.