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Finding the Fourth Proportional to 11,294.41, 16,942.49 and 3,396.31

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Solution

The fourth proportional to 11,294.41, 16,942.49 and 3,396.31 is: 5,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.41 : 16,942.49 = 3,396.31 : x
  2. Step 2: Convert to fraction form
    11,294.41/16,942.49 = 3,396.31/x
  3. Step 3: Cross multiply
    11,294.41x = 16,942.49 × 3,396.31
  4. Step 4: Simplify right side
    11,294.41x = 57,541,948.21
  5. Step 5: Solve for x
    x = 57,541,948.21/11,294.41
  6. Step 6: Final answer
    x = 5,094.73

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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.