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Finding the Fourth Proportional to 7,469.85, 11,204.78 and 3,082.48

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Solution

The fourth proportional to 7,469.85, 11,204.78 and 3,082.48 is: 4,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.85 : 11,204.78 = 3,082.48 : x
  2. Step 2: Convert to fraction form
    7,469.85/11,204.78 = 3,082.48/x
  3. Step 3: Cross multiply
    7,469.85x = 11,204.78 × 3,082.48
  4. Step 4: Simplify right side
    7,469.85x = 34,538,510.25
  5. Step 5: Solve for x
    x = 34,538,510.25/7,469.85
  6. Step 6: Final answer
    x = 4,623.72

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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.