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Finding the Fourth Proportional to 7,874.62, 11,813.97 and 2,327.74

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Solution

The fourth proportional to 7,874.62, 11,813.97 and 2,327.74 is: 3,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.62 : 11,813.97 = 2,327.74 : x
  2. Step 2: Convert to fraction form
    7,874.62/11,813.97 = 2,327.74/x
  3. Step 3: Cross multiply
    7,874.62x = 11,813.97 × 2,327.74
  4. Step 4: Simplify right side
    7,874.62x = 27,499,850.53
  5. Step 5: Solve for x
    x = 27,499,850.53/7,874.62
  6. Step 6: Final answer
    x = 3,492.21

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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.