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Finding the Fourth Proportional to 8,243.25, 11,375.34 and 4,839.80

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Solution

The fourth proportional to 8,243.25, 11,375.34 and 4,839.80 is: 6,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.25 : 11,375.34 = 4,839.80 : x
  2. Step 2: Convert to fraction form
    8,243.25/11,375.34 = 4,839.80/x
  3. Step 3: Cross multiply
    8,243.25x = 11,375.34 × 4,839.80
  4. Step 4: Simplify right side
    8,243.25x = 55,054,313.66
  5. Step 5: Solve for x
    x = 55,054,313.66/8,243.25
  6. Step 6: Final answer
    x = 6,678.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.