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Finding the Fourth Proportional to 27,716.10, 41,562 and 7,994.22

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Solution

The fourth proportional to 27,716.10, 41,562 and 7,994.22 is: 11,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.10 : 41,562 = 7,994.22 : x
  2. Step 2: Convert to fraction form
    27,716.10/41,562 = 7,994.22/x
  3. Step 3: Cross multiply
    27,716.10x = 41,562 × 7,994.22
  4. Step 4: Simplify right side
    27,716.10x = 332,255,771.64
  5. Step 5: Solve for x
    x = 332,255,771.64/27,716.10
  6. Step 6: Final answer
    x = 11,987.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.