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Finding the Fourth Proportional to 8,104.25, 11,183.06 and 5,980.94

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Solution

The fourth proportional to 8,104.25, 11,183.06 and 5,980.94 is: 8,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.25 : 11,183.06 = 5,980.94 : x
  2. Step 2: Convert to fraction form
    8,104.25/11,183.06 = 5,980.94/x
  3. Step 3: Cross multiply
    8,104.25x = 11,183.06 × 5,980.94
  4. Step 4: Simplify right side
    8,104.25x = 66,885,211.85
  5. Step 5: Solve for x
    x = 66,885,211.85/8,104.25
  6. Step 6: Final answer
    x = 8,253.10

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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.