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Finding the Fourth Proportional to 11,027.40, 16,542.18 and 4,008

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Solution

The fourth proportional to 11,027.40, 16,542.18 and 4,008 is: 6,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.40 : 16,542.18 = 4,008 : x
  2. Step 2: Convert to fraction form
    11,027.40/16,542.18 = 4,008/x
  3. Step 3: Cross multiply
    11,027.40x = 16,542.18 × 4,008
  4. Step 4: Simplify right side
    11,027.40x = 66,301,057.44
  5. Step 5: Solve for x
    x = 66,301,057.44/11,027.40
  6. Step 6: Final answer
    x = 6,012.39

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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.