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Finding the Fourth Proportional to 11,759.38, 17,640.65 and 3,440.00

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Solution

The fourth proportional to 11,759.38, 17,640.65 and 3,440.00 is: 5,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.38 : 17,640.65 = 3,440.00 : x
  2. Step 2: Convert to fraction form
    11,759.38/17,640.65 = 3,440.00/x
  3. Step 3: Cross multiply
    11,759.38x = 17,640.65 × 3,440.00
  4. Step 4: Simplify right side
    11,759.38x = 60,683,888.70
  5. Step 5: Solve for x
    x = 60,683,888.70/11,759.38
  6. Step 6: Final answer
    x = 5,160.47

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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.