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Finding the Fourth Proportional to 8,164.31, 12,246.32 and 2,617.56

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Solution

The fourth proportional to 8,164.31, 12,246.32 and 2,617.56 is: 3,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.31 : 12,246.32 = 2,617.56 : x
  2. Step 2: Convert to fraction form
    8,164.31/12,246.32 = 2,617.56/x
  3. Step 3: Cross multiply
    8,164.31x = 12,246.32 × 2,617.56
  4. Step 4: Simplify right side
    8,164.31x = 32,055,483.92
  5. Step 5: Solve for x
    x = 32,055,483.92/8,164.31
  6. Step 6: Final answer
    x = 3,926.30

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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.