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Finding the Fourth Proportional to 6,694.92, 10,042.35 and 2,797.20

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Solution

The fourth proportional to 6,694.92, 10,042.35 and 2,797.20 is: 4,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.92 : 10,042.35 = 2,797.20 : x
  2. Step 2: Convert to fraction form
    6,694.92/10,042.35 = 2,797.20/x
  3. Step 3: Cross multiply
    6,694.92x = 10,042.35 × 2,797.20
  4. Step 4: Simplify right side
    6,694.92x = 28,090,461.42
  5. Step 5: Solve for x
    x = 28,090,461.42/6,694.92
  6. Step 6: Final answer
    x = 4,195.79

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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.