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Finding the Fourth Proportional to 10,879.38, 15,013.20 and 6,402.10

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Solution

The fourth proportional to 10,879.38, 15,013.20 and 6,402.10 is: 8,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.38 : 15,013.20 = 6,402.10 : x
  2. Step 2: Convert to fraction form
    10,879.38/15,013.20 = 6,402.10/x
  3. Step 3: Cross multiply
    10,879.38x = 15,013.20 × 6,402.10
  4. Step 4: Simplify right side
    10,879.38x = 96,116,007.72
  5. Step 5: Solve for x
    x = 96,116,007.72/10,879.38
  6. Step 6: Final answer
    x = 8,834.70

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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.