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Finding the Fourth Proportional to 7,874.56, 11,813.64 and 2,611.24

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Solution

The fourth proportional to 7,874.56, 11,813.64 and 2,611.24 is: 3,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.56 : 11,813.64 = 2,611.24 : x
  2. Step 2: Convert to fraction form
    7,874.56/11,813.64 = 2,611.24/x
  3. Step 3: Cross multiply
    7,874.56x = 11,813.64 × 2,611.24
  4. Step 4: Simplify right side
    7,874.56x = 30,848,249.31
  5. Step 5: Solve for x
    x = 30,848,249.31/7,874.56
  6. Step 6: Final answer
    x = 3,917.46

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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.