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Finding the Fourth Proportional to 11,735.76, 17,605.50 and 3,942.78

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Solution

The fourth proportional to 11,735.76, 17,605.50 and 3,942.78 is: 5,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.76 : 17,605.50 = 3,942.78 : x
  2. Step 2: Convert to fraction form
    11,735.76/17,605.50 = 3,942.78/x
  3. Step 3: Cross multiply
    11,735.76x = 17,605.50 × 3,942.78
  4. Step 4: Simplify right side
    11,735.76x = 69,414,613.29
  5. Step 5: Solve for x
    x = 69,414,613.29/11,735.76
  6. Step 6: Final answer
    x = 5,914.79

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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.