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Finding the Fourth Proportional to 10,162.92, 14,020.38 and 5,969.28

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Solution

The fourth proportional to 10,162.92, 14,020.38 and 5,969.28 is: 8,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.92 : 14,020.38 = 5,969.28 : x
  2. Step 2: Convert to fraction form
    10,162.92/14,020.38 = 5,969.28/x
  3. Step 3: Cross multiply
    10,162.92x = 14,020.38 × 5,969.28
  4. Step 4: Simplify right side
    10,162.92x = 83,691,573.93
  5. Step 5: Solve for x
    x = 83,691,573.93/10,162.92
  6. Step 6: Final answer
    x = 8,234.99

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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.