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Finding the Fourth Proportional to 11,294.84, 16,943.22 and 3,896.30

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Solution

The fourth proportional to 11,294.84, 16,943.22 and 3,896.30 is: 5,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.84 : 16,943.22 = 3,896.30 : x
  2. Step 2: Convert to fraction form
    11,294.84/16,943.22 = 3,896.30/x
  3. Step 3: Cross multiply
    11,294.84x = 16,943.22 × 3,896.30
  4. Step 4: Simplify right side
    11,294.84x = 66,015,868.09
  5. Step 5: Solve for x
    x = 66,015,868.09/11,294.84
  6. Step 6: Final answer
    x = 5,844.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.