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Finding the Fourth Proportional to 6,801.36, 10,202.03 and 3,838.46

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Solution

The fourth proportional to 6,801.36, 10,202.03 and 3,838.46 is: 5,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.36 : 10,202.03 = 3,838.46 : x
  2. Step 2: Convert to fraction form
    6,801.36/10,202.03 = 3,838.46/x
  3. Step 3: Cross multiply
    6,801.36x = 10,202.03 × 3,838.46
  4. Step 4: Simplify right side
    6,801.36x = 39,160,099.98
  5. Step 5: Solve for x
    x = 39,160,099.98/6,801.36
  6. Step 6: Final answer
    x = 5,757.68

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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.