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Finding the Fourth Proportional to 8,074.57, 11,136.72 and 5,843.83

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Solution

The fourth proportional to 8,074.57, 11,136.72 and 5,843.83 is: 8,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.57 : 11,136.72 = 5,843.83 : x
  2. Step 2: Convert to fraction form
    8,074.57/11,136.72 = 5,843.83/x
  3. Step 3: Cross multiply
    8,074.57x = 11,136.72 × 5,843.83
  4. Step 4: Simplify right side
    8,074.57x = 65,081,098.44
  5. Step 5: Solve for x
    x = 65,081,098.44/8,074.57
  6. Step 6: Final answer
    x = 8,060.01

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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.