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Finding the Fourth Proportional to 6,839.40, 10,244.52 and 4,234.44

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Solution

The fourth proportional to 6,839.40, 10,244.52 and 4,234.44 is: 6,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.40 : 10,244.52 = 4,234.44 : x
  2. Step 2: Convert to fraction form
    6,839.40/10,244.52 = 4,234.44/x
  3. Step 3: Cross multiply
    6,839.40x = 10,244.52 × 4,234.44
  4. Step 4: Simplify right side
    6,839.40x = 43,379,805.27
  5. Step 5: Solve for x
    x = 43,379,805.27/6,839.40
  6. Step 6: Final answer
    x = 6,342.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.