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Finding the Fourth Proportional to 27,865.02, 41,793.21 and 8,138.28

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Solution

The fourth proportional to 27,865.02, 41,793.21 and 8,138.28 is: 12,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.02 : 41,793.21 = 8,138.28 : x
  2. Step 2: Convert to fraction form
    27,865.02/41,793.21 = 8,138.28/x
  3. Step 3: Cross multiply
    27,865.02x = 41,793.21 × 8,138.28
  4. Step 4: Simplify right side
    27,865.02x = 340,124,845.08
  5. Step 5: Solve for x
    x = 340,124,845.08/27,865.02
  6. Step 6: Final answer
    x = 12,206.16

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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.