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Finding the Fourth Proportional to 7,270.84, 10,906.97 and 2,887.32

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Solution

The fourth proportional to 7,270.84, 10,906.97 and 2,887.32 is: 4,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.84 : 10,906.97 = 2,887.32 : x
  2. Step 2: Convert to fraction form
    7,270.84/10,906.97 = 2,887.32/x
  3. Step 3: Cross multiply
    7,270.84x = 10,906.97 × 2,887.32
  4. Step 4: Simplify right side
    7,270.84x = 31,491,912.62
  5. Step 5: Solve for x
    x = 31,491,912.62/7,270.84
  6. Step 6: Final answer
    x = 4,331.26

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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.