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Finding the Fourth Proportional to 7,382.27, 11,076.89 and 3,684.80

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Solution

The fourth proportional to 7,382.27, 11,076.89 and 3,684.80 is: 5,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.27 : 11,076.89 = 3,684.80 : x
  2. Step 2: Convert to fraction form
    7,382.27/11,076.89 = 3,684.80/x
  3. Step 3: Cross multiply
    7,382.27x = 11,076.89 × 3,684.80
  4. Step 4: Simplify right side
    7,382.27x = 40,816,133.54
  5. Step 5: Solve for x
    x = 40,816,133.54/7,382.27
  6. Step 6: Final answer
    x = 5,528.94

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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.