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Finding the Fourth Proportional to 6,854.69, 10,282.81 and 2,694.15

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Solution

The fourth proportional to 6,854.69, 10,282.81 and 2,694.15 is: 4,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.69 : 10,282.81 = 2,694.15 : x
  2. Step 2: Convert to fraction form
    6,854.69/10,282.81 = 2,694.15/x
  3. Step 3: Cross multiply
    6,854.69x = 10,282.81 × 2,694.15
  4. Step 4: Simplify right side
    6,854.69x = 27,703,432.56
  5. Step 5: Solve for x
    x = 27,703,432.56/6,854.69
  6. Step 6: Final answer
    x = 4,041.53

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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.