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Finding the Fourth Proportional to 6,348.82, 8,759.34 and 4,112.41

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Solution

The fourth proportional to 6,348.82, 8,759.34 and 4,112.41 is: 5,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.82 : 8,759.34 = 4,112.41 : x
  2. Step 2: Convert to fraction form
    6,348.82/8,759.34 = 4,112.41/x
  3. Step 3: Cross multiply
    6,348.82x = 8,759.34 × 4,112.41
  4. Step 4: Simplify right side
    6,348.82x = 36,021,933.05
  5. Step 5: Solve for x
    x = 36,021,933.05/6,348.82
  6. Step 6: Final answer
    x = 5,673.80

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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.