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Finding the Fourth Proportional to 7,944.75, 11,920.43 and 3,500.14

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Solution

The fourth proportional to 7,944.75, 11,920.43 and 3,500.14 is: 5,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.75 : 11,920.43 = 3,500.14 : x
  2. Step 2: Convert to fraction form
    7,944.75/11,920.43 = 3,500.14/x
  3. Step 3: Cross multiply
    7,944.75x = 11,920.43 × 3,500.14
  4. Step 4: Simplify right side
    7,944.75x = 41,723,173.86
  5. Step 5: Solve for x
    x = 41,723,173.86/7,944.75
  6. Step 6: Final answer
    x = 5,251.67

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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.