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Finding the Fourth Proportional to 11,816.80, 17,727.60 and 4,026.40

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Solution

The fourth proportional to 11,816.80, 17,727.60 and 4,026.40 is: 6,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.80 : 17,727.60 = 4,026.40 : x
  2. Step 2: Convert to fraction form
    11,816.80/17,727.60 = 4,026.40/x
  3. Step 3: Cross multiply
    11,816.80x = 17,727.60 × 4,026.40
  4. Step 4: Simplify right side
    11,816.80x = 71,378,408.64
  5. Step 5: Solve for x
    x = 71,378,408.64/11,816.80
  6. Step 6: Final answer
    x = 6,040.42

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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.