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Finding the Fourth Proportional to 11,872.82, 17,813.55 and 5,634.74

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Solution

The fourth proportional to 11,872.82, 17,813.55 and 5,634.74 is: 8,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.82 : 17,813.55 = 5,634.74 : x
  2. Step 2: Convert to fraction form
    11,872.82/17,813.55 = 5,634.74/x
  3. Step 3: Cross multiply
    11,872.82x = 17,813.55 × 5,634.74
  4. Step 4: Simplify right side
    11,872.82x = 100,374,722.73
  5. Step 5: Solve for x
    x = 100,374,722.73/11,872.82
  6. Step 6: Final answer
    x = 8,454.16

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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.