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Finding the Fourth Proportional to 27,163.16, 40,743.38 and 7,441.40

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Solution

The fourth proportional to 27,163.16, 40,743.38 and 7,441.40 is: 11,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,163.16 : 40,743.38 = 7,441.40 : x
  2. Step 2: Convert to fraction form
    27,163.16/40,743.38 = 7,441.40/x
  3. Step 3: Cross multiply
    27,163.16x = 40,743.38 × 7,441.40
  4. Step 4: Simplify right side
    27,163.16x = 303,187,787.93
  5. Step 5: Solve for x
    x = 303,187,787.93/27,163.16
  6. Step 6: Final answer
    x = 11,161.73

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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.