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Finding the Fourth Proportional to 6,906.18, 10,351.88 and 2,740.42

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Solution

The fourth proportional to 6,906.18, 10,351.88 and 2,740.42 is: 4,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.18 : 10,351.88 = 2,740.42 : x
  2. Step 2: Convert to fraction form
    6,906.18/10,351.88 = 2,740.42/x
  3. Step 3: Cross multiply
    6,906.18x = 10,351.88 × 2,740.42
  4. Step 4: Simplify right side
    6,906.18x = 28,368,433.53
  5. Step 5: Solve for x
    x = 28,368,433.53/6,906.18
  6. Step 6: Final answer
    x = 4,107.69

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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.