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Finding the Fourth Proportional to 27,904.70, 41,863.80 and 8,183.90

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Solution

The fourth proportional to 27,904.70, 41,863.80 and 8,183.90 is: 12,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.70 : 41,863.80 = 8,183.90 : x
  2. Step 2: Convert to fraction form
    27,904.70/41,863.80 = 8,183.90/x
  3. Step 3: Cross multiply
    27,904.70x = 41,863.80 × 8,183.90
  4. Step 4: Simplify right side
    27,904.70x = 342,609,152.82
  5. Step 5: Solve for x
    x = 342,609,152.82/27,904.70
  6. Step 6: Final answer
    x = 12,277.83

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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.