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Finding the Fourth Proportional to 11,843.82, 17,767.35 and 4,446.06

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Solution

The fourth proportional to 11,843.82, 17,767.35 and 4,446.06 is: 6,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.82 : 17,767.35 = 4,446.06 : x
  2. Step 2: Convert to fraction form
    11,843.82/17,767.35 = 4,446.06/x
  3. Step 3: Cross multiply
    11,843.82x = 17,767.35 × 4,446.06
  4. Step 4: Simplify right side
    11,843.82x = 78,994,704.14
  5. Step 5: Solve for x
    x = 78,994,704.14/11,843.82
  6. Step 6: Final answer
    x = 6,669.70

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