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Finding the Fourth Proportional to 11,954.12, 17,927.94 and 5,027

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Solution

The fourth proportional to 11,954.12, 17,927.94 and 5,027 is: 7,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.12 : 17,927.94 = 5,027 : x
  2. Step 2: Convert to fraction form
    11,954.12/17,927.94 = 5,027/x
  3. Step 3: Cross multiply
    11,954.12x = 17,927.94 × 5,027
  4. Step 4: Simplify right side
    11,954.12x = 90,123,754.38
  5. Step 5: Solve for x
    x = 90,123,754.38/11,954.12
  6. Step 6: Final answer
    x = 7,539.14

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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.