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Finding the Fourth Proportional to 12,311.82, 18,460.31 and 5,187.56

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Solution

The fourth proportional to 12,311.82, 18,460.31 and 5,187.56 is: 7,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.82 : 18,460.31 = 5,187.56 : x
  2. Step 2: Convert to fraction form
    12,311.82/18,460.31 = 5,187.56/x
  3. Step 3: Cross multiply
    12,311.82x = 18,460.31 × 5,187.56
  4. Step 4: Simplify right side
    12,311.82x = 95,763,847.50
  5. Step 5: Solve for x
    x = 95,763,847.50/12,311.82
  6. Step 6: Final answer
    x = 7,778.20

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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.