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Finding the Fourth Proportional to 7,874.10, 11,811.26 and 2,327.54

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Solution

The fourth proportional to 7,874.10, 11,811.26 and 2,327.54 is: 3,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.10 : 11,811.26 = 2,327.54 : x
  2. Step 2: Convert to fraction form
    7,874.10/11,811.26 = 2,327.54/x
  3. Step 3: Cross multiply
    7,874.10x = 11,811.26 × 2,327.54
  4. Step 4: Simplify right side
    7,874.10x = 27,491,180.10
  5. Step 5: Solve for x
    x = 27,491,180.10/7,874.10
  6. Step 6: Final answer
    x = 3,491.34

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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.