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Finding the Fourth Proportional to 7,674.27, 11,512.08 and 3,290.70

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Solution

The fourth proportional to 7,674.27, 11,512.08 and 3,290.70 is: 4,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.27 : 11,512.08 = 3,290.70 : x
  2. Step 2: Convert to fraction form
    7,674.27/11,512.08 = 3,290.70/x
  3. Step 3: Cross multiply
    7,674.27x = 11,512.08 × 3,290.70
  4. Step 4: Simplify right side
    7,674.27x = 37,882,801.66
  5. Step 5: Solve for x
    x = 37,882,801.66/7,674.27
  6. Step 6: Final answer
    x = 4,936.34

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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.