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Finding the Fourth Proportional to 7,339.38, 10,128.32 and 3,982.17

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Solution

The fourth proportional to 7,339.38, 10,128.32 and 3,982.17 is: 5,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.38 : 10,128.32 = 3,982.17 : x
  2. Step 2: Convert to fraction form
    7,339.38/10,128.32 = 3,982.17/x
  3. Step 3: Cross multiply
    7,339.38x = 10,128.32 × 3,982.17
  4. Step 4: Simplify right side
    7,339.38x = 40,332,672.14
  5. Step 5: Solve for x
    x = 40,332,672.14/7,339.38
  6. Step 6: Final answer
    x = 5,495.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.