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Finding the Fourth Proportional to 11,028.36, 16,532.82 and 4,098

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Solution

The fourth proportional to 11,028.36, 16,532.82 and 4,098 is: 6,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.36 : 16,532.82 = 4,098 : x
  2. Step 2: Convert to fraction form
    11,028.36/16,532.82 = 4,098/x
  3. Step 3: Cross multiply
    11,028.36x = 16,532.82 × 4,098
  4. Step 4: Simplify right side
    11,028.36x = 67,751,496.36
  5. Step 5: Solve for x
    x = 67,751,496.36/11,028.36
  6. Step 6: Final answer
    x = 6,143.39

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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.