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Finding the Fourth Proportional to 10,314.14, 15,474.27 and 3,294.60

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Solution

The fourth proportional to 10,314.14, 15,474.27 and 3,294.60 is: 4,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.14 : 15,474.27 = 3,294.60 : x
  2. Step 2: Convert to fraction form
    10,314.14/15,474.27 = 3,294.60/x
  3. Step 3: Cross multiply
    10,314.14x = 15,474.27 × 3,294.60
  4. Step 4: Simplify right side
    10,314.14x = 50,981,529.94
  5. Step 5: Solve for x
    x = 50,981,529.94/10,314.14
  6. Step 6: Final answer
    x = 4,942.88

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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.