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Finding the Fourth Proportional to 7,324.97, 10,986.98 and 2,939.27

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Solution

The fourth proportional to 7,324.97, 10,986.98 and 2,939.27 is: 4,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.97 : 10,986.98 = 2,939.27 : x
  2. Step 2: Convert to fraction form
    7,324.97/10,986.98 = 2,939.27/x
  3. Step 3: Cross multiply
    7,324.97x = 10,986.98 × 2,939.27
  4. Step 4: Simplify right side
    7,324.97x = 32,293,631.07
  5. Step 5: Solve for x
    x = 32,293,631.07/7,324.97
  6. Step 6: Final answer
    x = 4,408.71

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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.