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Finding the Fourth Proportional to 11,209.78, 16,817.22 and 3,419.20

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Solution

The fourth proportional to 11,209.78, 16,817.22 and 3,419.20 is: 5,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.78 : 16,817.22 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    11,209.78/16,817.22 = 3,419.20/x
  3. Step 3: Cross multiply
    11,209.78x = 16,817.22 × 3,419.20
  4. Step 4: Simplify right side
    11,209.78x = 57,501,438.62
  5. Step 5: Solve for x
    x = 57,501,438.62/11,209.78
  6. Step 6: Final answer
    x = 5,129.58

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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.