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Finding the Fourth Proportional to 6,380.78, 8,805.67 and 3,863.35

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Solution

The fourth proportional to 6,380.78, 8,805.67 and 3,863.35 is: 5,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.78 : 8,805.67 = 3,863.35 : x
  2. Step 2: Convert to fraction form
    6,380.78/8,805.67 = 3,863.35/x
  3. Step 3: Cross multiply
    6,380.78x = 8,805.67 × 3,863.35
  4. Step 4: Simplify right side
    6,380.78x = 34,019,365.88
  5. Step 5: Solve for x
    x = 34,019,365.88/6,380.78
  6. Step 6: Final answer
    x = 5,331.54

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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.