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Finding the Fourth Proportional to 6,856.26, 10,282.26 and 2,473.15

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Solution

The fourth proportional to 6,856.26, 10,282.26 and 2,473.15 is: 3,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.26 : 10,282.26 = 2,473.15 : x
  2. Step 2: Convert to fraction form
    6,856.26/10,282.26 = 2,473.15/x
  3. Step 3: Cross multiply
    6,856.26x = 10,282.26 × 2,473.15
  4. Step 4: Simplify right side
    6,856.26x = 25,429,554.89
  5. Step 5: Solve for x
    x = 25,429,554.89/6,856.26
  6. Step 6: Final answer
    x = 3,708.95

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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.