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Finding the Fourth Proportional to 7,181.56, 10,774.14 and 2,251.24

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Solution

The fourth proportional to 7,181.56, 10,774.14 and 2,251.24 is: 3,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.56 : 10,774.14 = 2,251.24 : x
  2. Step 2: Convert to fraction form
    7,181.56/10,774.14 = 2,251.24/x
  3. Step 3: Cross multiply
    7,181.56x = 10,774.14 × 2,251.24
  4. Step 4: Simplify right side
    7,181.56x = 24,255,174.93
  5. Step 5: Solve for x
    x = 24,255,174.93/7,181.56
  6. Step 6: Final answer
    x = 3,377.42

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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.