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Finding the Fourth Proportional to 8,178.74, 12,268.52 and 2,336.21

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Solution

The fourth proportional to 8,178.74, 12,268.52 and 2,336.21 is: 3,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.74 : 12,268.52 = 2,336.21 : x
  2. Step 2: Convert to fraction form
    8,178.74/12,268.52 = 2,336.21/x
  3. Step 3: Cross multiply
    8,178.74x = 12,268.52 × 2,336.21
  4. Step 4: Simplify right side
    8,178.74x = 28,661,839.11
  5. Step 5: Solve for x
    x = 28,661,839.11/8,178.74
  6. Step 6: Final answer
    x = 3,504.43

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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.