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Finding the Fourth Proportional to 11,842.18, 17,759.42 and 3,942.57

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Solution

The fourth proportional to 11,842.18, 17,759.42 and 3,942.57 is: 5,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.18 : 17,759.42 = 3,942.57 : x
  2. Step 2: Convert to fraction form
    11,842.18/17,759.42 = 3,942.57/x
  3. Step 3: Cross multiply
    11,842.18x = 17,759.42 × 3,942.57
  4. Step 4: Simplify right side
    11,842.18x = 70,017,810.76
  5. Step 5: Solve for x
    x = 70,017,810.76/11,842.18
  6. Step 6: Final answer
    x = 5,912.58

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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.