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Finding the Fourth Proportional to 8,288.06, 12,414.81 and 3,674.30

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Solution

The fourth proportional to 8,288.06, 12,414.81 and 3,674.30 is: 5,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.06 : 12,414.81 = 3,674.30 : x
  2. Step 2: Convert to fraction form
    8,288.06/12,414.81 = 3,674.30/x
  3. Step 3: Cross multiply
    8,288.06x = 12,414.81 × 3,674.30
  4. Step 4: Simplify right side
    8,288.06x = 45,615,736.38
  5. Step 5: Solve for x
    x = 45,615,736.38/8,288.06
  6. Step 6: Final answer
    x = 5,503.79

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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.