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Finding the Fourth Proportional to 8,622.26, 11,899.32 and 5,794.38

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Solution

The fourth proportional to 8,622.26, 11,899.32 and 5,794.38 is: 7,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.26 : 11,899.32 = 5,794.38 : x
  2. Step 2: Convert to fraction form
    8,622.26/11,899.32 = 5,794.38/x
  3. Step 3: Cross multiply
    8,622.26x = 11,899.32 × 5,794.38
  4. Step 4: Simplify right side
    8,622.26x = 68,949,181.82
  5. Step 5: Solve for x
    x = 68,949,181.82/8,622.26
  6. Step 6: Final answer
    x = 7,996.65

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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.