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Finding the Fourth Proportional to 11,202.25, 16,803.38 and 3,906.25

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Solution

The fourth proportional to 11,202.25, 16,803.38 and 3,906.25 is: 5,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.25 : 16,803.38 = 3,906.25 : x
  2. Step 2: Convert to fraction form
    11,202.25/16,803.38 = 3,906.25/x
  3. Step 3: Cross multiply
    11,202.25x = 16,803.38 × 3,906.25
  4. Step 4: Simplify right side
    11,202.25x = 65,638,183.59
  5. Step 5: Solve for x
    x = 65,638,183.59/11,202.25
  6. Step 6: Final answer
    x = 5,859.38

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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.