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Finding the Fourth Proportional to 11,759.64, 17,640.30 and 3,439.74

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Solution

The fourth proportional to 11,759.64, 17,640.30 and 3,439.74 is: 5,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.64 : 17,640.30 = 3,439.74 : x
  2. Step 2: Convert to fraction form
    11,759.64/17,640.30 = 3,439.74/x
  3. Step 3: Cross multiply
    11,759.64x = 17,640.30 × 3,439.74
  4. Step 4: Simplify right side
    11,759.64x = 60,678,045.52
  5. Step 5: Solve for x
    x = 60,678,045.52/11,759.64
  6. Step 6: Final answer
    x = 5,159.86

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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.