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Finding the Fourth Proportional to 7,674.28, 11,512.06 and 3,290.68

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Solution

The fourth proportional to 7,674.28, 11,512.06 and 3,290.68 is: 4,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.28 : 11,512.06 = 3,290.68 : x
  2. Step 2: Convert to fraction form
    7,674.28/11,512.06 = 3,290.68/x
  3. Step 3: Cross multiply
    7,674.28x = 11,512.06 × 3,290.68
  4. Step 4: Simplify right side
    7,674.28x = 37,882,505.60
  5. Step 5: Solve for x
    x = 37,882,505.60/7,674.28
  6. Step 6: Final answer
    x = 4,936.29

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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.