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Finding the Fourth Proportional to 8,103.72, 11,183.64 and 4,960.20

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Solution

The fourth proportional to 8,103.72, 11,183.64 and 4,960.20 is: 6,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.72 : 11,183.64 = 4,960.20 : x
  2. Step 2: Convert to fraction form
    8,103.72/11,183.64 = 4,960.20/x
  3. Step 3: Cross multiply
    8,103.72x = 11,183.64 × 4,960.20
  4. Step 4: Simplify right side
    8,103.72x = 55,473,091.13
  5. Step 5: Solve for x
    x = 55,473,091.13/8,103.72
  6. Step 6: Final answer
    x = 6,845.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.