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Finding the Fourth Proportional to 8,092.88, 11,169.60 and 7,723.52

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Solution

The fourth proportional to 8,092.88, 11,169.60 and 7,723.52 is: 10,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.88 : 11,169.60 = 7,723.52 : x
  2. Step 2: Convert to fraction form
    8,092.88/11,169.60 = 7,723.52/x
  3. Step 3: Cross multiply
    8,092.88x = 11,169.60 × 7,723.52
  4. Step 4: Simplify right side
    8,092.88x = 86,268,628.99
  5. Step 5: Solve for x
    x = 86,268,628.99/8,092.88
  6. Step 6: Final answer
    x = 10,659.82

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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.