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Finding the Fourth Proportional to 6,893.68, 10,343.88 and 3,429.04

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Solution

The fourth proportional to 6,893.68, 10,343.88 and 3,429.04 is: 5,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.68 : 10,343.88 = 3,429.04 : x
  2. Step 2: Convert to fraction form
    6,893.68/10,343.88 = 3,429.04/x
  3. Step 3: Cross multiply
    6,893.68x = 10,343.88 × 3,429.04
  4. Step 4: Simplify right side
    6,893.68x = 35,469,578.28
  5. Step 5: Solve for x
    x = 35,469,578.28/6,893.68
  6. Step 6: Final answer
    x = 5,145.23

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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.