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Finding the Fourth Proportional to 6,801.96, 10,194.30 and 3,881.88

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Solution

The fourth proportional to 6,801.96, 10,194.30 and 3,881.88 is: 5,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.96 : 10,194.30 = 3,881.88 : x
  2. Step 2: Convert to fraction form
    6,801.96/10,194.30 = 3,881.88/x
  3. Step 3: Cross multiply
    6,801.96x = 10,194.30 × 3,881.88
  4. Step 4: Simplify right side
    6,801.96x = 39,573,049.28
  5. Step 5: Solve for x
    x = 39,573,049.28/6,801.96
  6. Step 6: Final answer
    x = 5,817.89

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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.