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Finding the Fourth Proportional to 7,757.28, 10,704.92 and 4,220.42

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Solution

The fourth proportional to 7,757.28, 10,704.92 and 4,220.42 is: 5,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.28 : 10,704.92 = 4,220.42 : x
  2. Step 2: Convert to fraction form
    7,757.28/10,704.92 = 4,220.42/x
  3. Step 3: Cross multiply
    7,757.28x = 10,704.92 × 4,220.42
  4. Step 4: Simplify right side
    7,757.28x = 45,179,183.84
  5. Step 5: Solve for x
    x = 45,179,183.84/7,757.28
  6. Step 6: Final answer
    x = 5,824.10

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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.