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Finding the Fourth Proportional to 6,940.92, 10,415.52 and 2,781.84

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Solution

The fourth proportional to 6,940.92, 10,415.52 and 2,781.84 is: 4,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.92 : 10,415.52 = 2,781.84 : x
  2. Step 2: Convert to fraction form
    6,940.92/10,415.52 = 2,781.84/x
  3. Step 3: Cross multiply
    6,940.92x = 10,415.52 × 2,781.84
  4. Step 4: Simplify right side
    6,940.92x = 28,974,310.16
  5. Step 5: Solve for x
    x = 28,974,310.16/6,940.92
  6. Step 6: Final answer
    x = 4,174.42

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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.