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Finding the Fourth Proportional to 7,243.97, 10,872.09 and 2,864.50

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Solution

The fourth proportional to 7,243.97, 10,872.09 and 2,864.50 is: 4,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.97 : 10,872.09 = 2,864.50 : x
  2. Step 2: Convert to fraction form
    7,243.97/10,872.09 = 2,864.50/x
  3. Step 3: Cross multiply
    7,243.97x = 10,872.09 × 2,864.50
  4. Step 4: Simplify right side
    7,243.97x = 31,143,074.62
  5. Step 5: Solve for x
    x = 31,143,074.62/7,243.97
  6. Step 6: Final answer
    x = 4,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.