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Finding the Fourth Proportional to 8,241.80, 11,365.57 and 5,408.27

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Solution

The fourth proportional to 8,241.80, 11,365.57 and 5,408.27 is: 7,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.80 : 11,365.57 = 5,408.27 : x
  2. Step 2: Convert to fraction form
    8,241.80/11,365.57 = 5,408.27/x
  3. Step 3: Cross multiply
    8,241.80x = 11,365.57 × 5,408.27
  4. Step 4: Simplify right side
    8,241.80x = 61,468,033.40
  5. Step 5: Solve for x
    x = 61,468,033.40/8,241.80
  6. Step 6: Final answer
    x = 7,458.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.