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Finding the Fourth Proportional to 8,231.38, 11,355.25 and 5,579.62

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Solution

The fourth proportional to 8,231.38, 11,355.25 and 5,579.62 is: 7,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.38 : 11,355.25 = 5,579.62 : x
  2. Step 2: Convert to fraction form
    8,231.38/11,355.25 = 5,579.62/x
  3. Step 3: Cross multiply
    8,231.38x = 11,355.25 × 5,579.62
  4. Step 4: Simplify right side
    8,231.38x = 63,357,895.33
  5. Step 5: Solve for x
    x = 63,357,895.33/8,231.38
  6. Step 6: Final answer
    x = 7,697.12

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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.