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Finding the Fourth Proportional to 11,797.98, 17,694.24 and 3,478.56

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Solution

The fourth proportional to 11,797.98, 17,694.24 and 3,478.56 is: 5,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.98 : 17,694.24 = 3,478.56 : x
  2. Step 2: Convert to fraction form
    11,797.98/17,694.24 = 3,478.56/x
  3. Step 3: Cross multiply
    11,797.98x = 17,694.24 × 3,478.56
  4. Step 4: Simplify right side
    11,797.98x = 61,550,475.49
  5. Step 5: Solve for x
    x = 61,550,475.49/11,797.98
  6. Step 6: Final answer
    x = 5,217.04

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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.