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Finding the Fourth Proportional to 8,827.92, 12,183.08 and 5,838.57

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Solution

The fourth proportional to 8,827.92, 12,183.08 and 5,838.57 is: 8,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.92 : 12,183.08 = 5,838.57 : x
  2. Step 2: Convert to fraction form
    8,827.92/12,183.08 = 5,838.57/x
  3. Step 3: Cross multiply
    8,827.92x = 12,183.08 × 5,838.57
  4. Step 4: Simplify right side
    8,827.92x = 71,131,736.20
  5. Step 5: Solve for x
    x = 71,131,736.20/8,827.92
  6. Step 6: Final answer
    x = 8,057.59

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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.