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Finding the Fourth Proportional to 7,469.94, 11,204.92 and 3,082.58

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Solution

The fourth proportional to 7,469.94, 11,204.92 and 3,082.58 is: 4,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.94 : 11,204.92 = 3,082.58 : x
  2. Step 2: Convert to fraction form
    7,469.94/11,204.92 = 3,082.58/x
  3. Step 3: Cross multiply
    7,469.94x = 11,204.92 × 3,082.58
  4. Step 4: Simplify right side
    7,469.94x = 34,540,062.29
  5. Step 5: Solve for x
    x = 34,540,062.29/7,469.94
  6. Step 6: Final answer
    x = 4,623.87

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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.