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Finding the Fourth Proportional to 11,654.76, 17,478.36 and 3,861.75

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Solution

The fourth proportional to 11,654.76, 17,478.36 and 3,861.75 is: 5,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.76 : 17,478.36 = 3,861.75 : x
  2. Step 2: Convert to fraction form
    11,654.76/17,478.36 = 3,861.75/x
  3. Step 3: Cross multiply
    11,654.76x = 17,478.36 × 3,861.75
  4. Step 4: Simplify right side
    11,654.76x = 67,497,056.73
  5. Step 5: Solve for x
    x = 67,497,056.73/11,654.76
  6. Step 6: Final answer
    x = 5,791.37

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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.