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Finding the Fourth Proportional to 7,792.49, 11,694.37 and 3,049.35

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Solution

The fourth proportional to 7,792.49, 11,694.37 and 3,049.35 is: 4,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.49 : 11,694.37 = 3,049.35 : x
  2. Step 2: Convert to fraction form
    7,792.49/11,694.37 = 3,049.35/x
  3. Step 3: Cross multiply
    7,792.49x = 11,694.37 × 3,049.35
  4. Step 4: Simplify right side
    7,792.49x = 35,660,227.16
  5. Step 5: Solve for x
    x = 35,660,227.16/7,792.49
  6. Step 6: Final answer
    x = 4,576.23

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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.