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Finding the Fourth Proportional to 11,002.86, 15,183.81 and 5,967

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Solution

The fourth proportional to 11,002.86, 15,183.81 and 5,967 is: 8,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.86 : 15,183.81 = 5,967 : x
  2. Step 2: Convert to fraction form
    11,002.86/15,183.81 = 5,967/x
  3. Step 3: Cross multiply
    11,002.86x = 15,183.81 × 5,967
  4. Step 4: Simplify right side
    11,002.86x = 90,601,794.27
  5. Step 5: Solve for x
    x = 90,601,794.27/11,002.86
  6. Step 6: Final answer
    x = 8,234.39

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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.