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Finding the Fourth Proportional to 8,179.25, 11,287.38 and 4,453.25

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Solution

The fourth proportional to 8,179.25, 11,287.38 and 4,453.25 is: 6,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.25 : 11,287.38 = 4,453.25 : x
  2. Step 2: Convert to fraction form
    8,179.25/11,287.38 = 4,453.25/x
  3. Step 3: Cross multiply
    8,179.25x = 11,287.38 × 4,453.25
  4. Step 4: Simplify right side
    8,179.25x = 50,265,524.99
  5. Step 5: Solve for x
    x = 50,265,524.99/8,179.25
  6. Step 6: Final answer
    x = 6,145.49

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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.