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Finding the Fourth Proportional to 8,338.38, 11,507.16 and 5,196.39

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Solution

The fourth proportional to 8,338.38, 11,507.16 and 5,196.39 is: 7,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.38 : 11,507.16 = 5,196.39 : x
  2. Step 2: Convert to fraction form
    8,338.38/11,507.16 = 5,196.39/x
  3. Step 3: Cross multiply
    8,338.38x = 11,507.16 × 5,196.39
  4. Step 4: Simplify right side
    8,338.38x = 59,795,691.15
  5. Step 5: Solve for x
    x = 59,795,691.15/8,338.38
  6. Step 6: Final answer
    x = 7,171.14

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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.