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Finding the Fourth Proportional to 8,111.97, 11,194.53 and 4,385.97

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Solution

The fourth proportional to 8,111.97, 11,194.53 and 4,385.97 is: 6,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.97 : 11,194.53 = 4,385.97 : x
  2. Step 2: Convert to fraction form
    8,111.97/11,194.53 = 4,385.97/x
  3. Step 3: Cross multiply
    8,111.97x = 11,194.53 × 4,385.97
  4. Step 4: Simplify right side
    8,111.97x = 49,098,872.74
  5. Step 5: Solve for x
    x = 49,098,872.74/8,111.97
  6. Step 6: Final answer
    x = 6,052.64

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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.