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Finding the Fourth Proportional to 6,737.26, 10,105.78 and 2,120.26

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Solution

The fourth proportional to 6,737.26, 10,105.78 and 2,120.26 is: 3,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.26 : 10,105.78 = 2,120.26 : x
  2. Step 2: Convert to fraction form
    6,737.26/10,105.78 = 2,120.26/x
  3. Step 3: Cross multiply
    6,737.26x = 10,105.78 × 2,120.26
  4. Step 4: Simplify right side
    6,737.26x = 21,426,881.10
  5. Step 5: Solve for x
    x = 21,426,881.10/6,737.26
  6. Step 6: Final answer
    x = 3,180.36

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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.