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Finding the Fourth Proportional to 27,860.64, 41,791.16 and 8,152.93

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Solution

The fourth proportional to 27,860.64, 41,791.16 and 8,152.93 is: 12,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860.64 : 41,791.16 = 8,152.93 : x
  2. Step 2: Convert to fraction form
    27,860.64/41,791.16 = 8,152.93/x
  3. Step 3: Cross multiply
    27,860.64x = 41,791.16 × 8,152.93
  4. Step 4: Simplify right side
    27,860.64x = 340,720,361.33
  5. Step 5: Solve for x
    x = 340,720,361.33/27,860.64
  6. Step 6: Final answer
    x = 12,229.45

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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.