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Finding the Fourth Proportional to 6,854.34, 10,286.25 and 2,694.32

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Solution

The fourth proportional to 6,854.34, 10,286.25 and 2,694.32 is: 4,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.34 : 10,286.25 = 2,694.32 : x
  2. Step 2: Convert to fraction form
    6,854.34/10,286.25 = 2,694.32/x
  3. Step 3: Cross multiply
    6,854.34x = 10,286.25 × 2,694.32
  4. Step 4: Simplify right side
    6,854.34x = 27,714,449.10
  5. Step 5: Solve for x
    x = 27,714,449.10/6,854.34
  6. Step 6: Final answer
    x = 4,043.34

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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.