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Finding the Fourth Proportional to 7,874.44, 11,813.69 and 2,944.11

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Solution

The fourth proportional to 7,874.44, 11,813.69 and 2,944.11 is: 4,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.44 : 11,813.69 = 2,944.11 : x
  2. Step 2: Convert to fraction form
    7,874.44/11,813.69 = 2,944.11/x
  3. Step 3: Cross multiply
    7,874.44x = 11,813.69 × 2,944.11
  4. Step 4: Simplify right side
    7,874.44x = 34,780,788.15
  5. Step 5: Solve for x
    x = 34,780,788.15/7,874.44
  6. Step 6: Final answer
    x = 4,416.92

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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.