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Finding the Fourth Proportional to 7,338.38, 10,197.22 and 7,262.18

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Solution

The fourth proportional to 7,338.38, 10,197.22 and 7,262.18 is: 10,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.38 : 10,197.22 = 7,262.18 : x
  2. Step 2: Convert to fraction form
    7,338.38/10,197.22 = 7,262.18/x
  3. Step 3: Cross multiply
    7,338.38x = 10,197.22 × 7,262.18
  4. Step 4: Simplify right side
    7,338.38x = 74,053,995.09
  5. Step 5: Solve for x
    x = 74,053,995.09/7,338.38
  6. Step 6: Final answer
    x = 10,091.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.