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Finding the Fourth Proportional to 8,012.68, 11,062.70 and 7,171.92

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Solution

The fourth proportional to 8,012.68, 11,062.70 and 7,171.92 is: 9,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.68 : 11,062.70 = 7,171.92 : x
  2. Step 2: Convert to fraction form
    8,012.68/11,062.70 = 7,171.92/x
  3. Step 3: Cross multiply
    8,012.68x = 11,062.70 × 7,171.92
  4. Step 4: Simplify right side
    8,012.68x = 79,340,799.38
  5. Step 5: Solve for x
    x = 79,340,799.38/8,012.68
  6. Step 6: Final answer
    x = 9,901.91

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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.