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Finding the Fourth Proportional to 6,856.85, 10,282.36 and 2,696.19

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Solution

The fourth proportional to 6,856.85, 10,282.36 and 2,696.19 is: 4,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.85 : 10,282.36 = 2,696.19 : x
  2. Step 2: Convert to fraction form
    6,856.85/10,282.36 = 2,696.19/x
  3. Step 3: Cross multiply
    6,856.85x = 10,282.36 × 2,696.19
  4. Step 4: Simplify right side
    6,856.85x = 27,723,221.91
  5. Step 5: Solve for x
    x = 27,723,221.91/6,856.85
  6. Step 6: Final answer
    x = 4,043.14

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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.