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Finding the Fourth Proportional to 11,136.31, 16,704.98 and 6,202.23

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Solution

The fourth proportional to 11,136.31, 16,704.98 and 6,202.23 is: 9,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.31 : 16,704.98 = 6,202.23 : x
  2. Step 2: Convert to fraction form
    11,136.31/16,704.98 = 6,202.23/x
  3. Step 3: Cross multiply
    11,136.31x = 16,704.98 × 6,202.23
  4. Step 4: Simplify right side
    11,136.31x = 103,608,128.11
  5. Step 5: Solve for x
    x = 103,608,128.11/11,136.31
  6. Step 6: Final answer
    x = 9,303.63

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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.