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Finding the Fourth Proportional to 11,163.42, 16,729.00 and 6,166.80

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Solution

The fourth proportional to 11,163.42, 16,729.00 and 6,166.80 is: 9,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.42 : 16,729.00 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    11,163.42/16,729.00 = 6,166.80/x
  3. Step 3: Cross multiply
    11,163.42x = 16,729.00 × 6,166.80
  4. Step 4: Simplify right side
    11,163.42x = 103,164,381.78
  5. Step 5: Solve for x
    x = 103,164,381.78/11,163.42
  6. Step 6: Final answer
    x = 9,241.29

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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.