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Finding the Fourth Proportional to 8,276.49, 12,414.71 and 3,346.07

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Solution

The fourth proportional to 8,276.49, 12,414.71 and 3,346.07 is: 5,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.49 : 12,414.71 = 3,346.07 : x
  2. Step 2: Convert to fraction form
    8,276.49/12,414.71 = 3,346.07/x
  3. Step 3: Cross multiply
    8,276.49x = 12,414.71 × 3,346.07
  4. Step 4: Simplify right side
    8,276.49x = 41,540,471.96
  5. Step 5: Solve for x
    x = 41,540,471.96/8,276.49
  6. Step 6: Final answer
    x = 5,019.09

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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.