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Finding the Fourth Proportional to 8,255.31, 11,390.49 and 4,896.42

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Solution

The fourth proportional to 8,255.31, 11,390.49 and 4,896.42 is: 6,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.31 : 11,390.49 = 4,896.42 : x
  2. Step 2: Convert to fraction form
    8,255.31/11,390.49 = 4,896.42/x
  3. Step 3: Cross multiply
    8,255.31x = 11,390.49 × 4,896.42
  4. Step 4: Simplify right side
    8,255.31x = 55,772,623.05
  5. Step 5: Solve for x
    x = 55,772,623.05/8,255.31
  6. Step 6: Final answer
    x = 6,755.97

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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.