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Finding the Fourth Proportional to 7,272.81, 10,912.46 and 3,809.25

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Solution

The fourth proportional to 7,272.81, 10,912.46 and 3,809.25 is: 5,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.81 : 10,912.46 = 3,809.25 : x
  2. Step 2: Convert to fraction form
    7,272.81/10,912.46 = 3,809.25/x
  3. Step 3: Cross multiply
    7,272.81x = 10,912.46 × 3,809.25
  4. Step 4: Simplify right side
    7,272.81x = 41,568,269.21
  5. Step 5: Solve for x
    x = 41,568,269.21/7,272.81
  6. Step 6: Final answer
    x = 5,715.57

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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.