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Finding the Fourth Proportional to 6,902.92, 10,348.71 and 2,517.58

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Solution

The fourth proportional to 6,902.92, 10,348.71 and 2,517.58 is: 3,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.92 : 10,348.71 = 2,517.58 : x
  2. Step 2: Convert to fraction form
    6,902.92/10,348.71 = 2,517.58/x
  3. Step 3: Cross multiply
    6,902.92x = 10,348.71 × 2,517.58
  4. Step 4: Simplify right side
    6,902.92x = 26,053,705.32
  5. Step 5: Solve for x
    x = 26,053,705.32/6,902.92
  6. Step 6: Final answer
    x = 3,774.30

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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.