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Finding the Fourth Proportional to 6,856.66, 10,286.28 and 2,175.42

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Solution

The fourth proportional to 6,856.66, 10,286.28 and 2,175.42 is: 3,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.66 : 10,286.28 = 2,175.42 : x
  2. Step 2: Convert to fraction form
    6,856.66/10,286.28 = 2,175.42/x
  3. Step 3: Cross multiply
    6,856.66x = 10,286.28 × 2,175.42
  4. Step 4: Simplify right side
    6,856.66x = 22,376,985.12
  5. Step 5: Solve for x
    x = 22,376,985.12/6,856.66
  6. Step 6: Final answer
    x = 3,263.54

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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.