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Finding the Fourth Proportional to 7,323.92, 10,971.17 and 3,369.65

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Solution

The fourth proportional to 7,323.92, 10,971.17 and 3,369.65 is: 5,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.92 : 10,971.17 = 3,369.65 : x
  2. Step 2: Convert to fraction form
    7,323.92/10,971.17 = 3,369.65/x
  3. Step 3: Cross multiply
    7,323.92x = 10,971.17 × 3,369.65
  4. Step 4: Simplify right side
    7,323.92x = 36,969,013.57
  5. Step 5: Solve for x
    x = 36,969,013.57/7,323.92
  6. Step 6: Final answer
    x = 5,047.71

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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.