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Finding the Fourth Proportional to 11,205.33, 16,808.00 and 3,414.14

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Solution

The fourth proportional to 11,205.33, 16,808.00 and 3,414.14 is: 5,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.33 : 16,808.00 = 3,414.14 : x
  2. Step 2: Convert to fraction form
    11,205.33/16,808.00 = 3,414.14/x
  3. Step 3: Cross multiply
    11,205.33x = 16,808.00 × 3,414.14
  4. Step 4: Simplify right side
    11,205.33x = 57,384,915.68
  5. Step 5: Solve for x
    x = 57,384,915.68/11,205.33
  6. Step 6: Final answer
    x = 5,121.22

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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.