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Finding the Fourth Proportional to 11,136.16, 16,704.76 and 6,202.08

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Solution

The fourth proportional to 11,136.16, 16,704.76 and 6,202.08 is: 9,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.16 : 16,704.76 = 6,202.08 : x
  2. Step 2: Convert to fraction form
    11,136.16/16,704.76 = 6,202.08/x
  3. Step 3: Cross multiply
    11,136.16x = 16,704.76 × 6,202.08
  4. Step 4: Simplify right side
    11,136.16x = 103,604,257.90
  5. Step 5: Solve for x
    x = 103,604,257.90/11,136.16
  6. Step 6: Final answer
    x = 9,303.41

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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.