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Finding the Fourth Proportional to 7,757.12, 11,630.82 and 5,121.83

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Solution

The fourth proportional to 7,757.12, 11,630.82 and 5,121.83 is: 7,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.12 : 11,630.82 = 5,121.83 : x
  2. Step 2: Convert to fraction form
    7,757.12/11,630.82 = 5,121.83/x
  3. Step 3: Cross multiply
    7,757.12x = 11,630.82 × 5,121.83
  4. Step 4: Simplify right side
    7,757.12x = 59,571,082.80
  5. Step 5: Solve for x
    x = 59,571,082.80/7,757.12
  6. Step 6: Final answer
    x = 7,679.54

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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.