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Finding the Fourth Proportional to 8,092.90, 11,169.12 and 4,556.44

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Solution

The fourth proportional to 8,092.90, 11,169.12 and 4,556.44 is: 6,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.90 : 11,169.12 = 4,556.44 : x
  2. Step 2: Convert to fraction form
    8,092.90/11,169.12 = 4,556.44/x
  3. Step 3: Cross multiply
    8,092.90x = 11,169.12 × 4,556.44
  4. Step 4: Simplify right side
    8,092.90x = 50,891,425.13
  5. Step 5: Solve for x
    x = 50,891,425.13/8,092.90
  6. Step 6: Final answer
    x = 6,288.40

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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.