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Finding the Fourth Proportional to 8,022.91, 12,035.99 and 2,832.43

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Solution

The fourth proportional to 8,022.91, 12,035.99 and 2,832.43 is: 4,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.91 : 12,035.99 = 2,832.43 : x
  2. Step 2: Convert to fraction form
    8,022.91/12,035.99 = 2,832.43/x
  3. Step 3: Cross multiply
    8,022.91x = 12,035.99 × 2,832.43
  4. Step 4: Simplify right side
    8,022.91x = 34,091,099.16
  5. Step 5: Solve for x
    x = 34,091,099.16/8,022.91
  6. Step 6: Final answer
    x = 4,249.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.