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Finding the Fourth Proportional to 7,520.92, 10,378.64 and 4,163.62

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Solution

The fourth proportional to 7,520.92, 10,378.64 and 4,163.62 is: 5,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.92 : 10,378.64 = 4,163.62 : x
  2. Step 2: Convert to fraction form
    7,520.92/10,378.64 = 4,163.62/x
  3. Step 3: Cross multiply
    7,520.92x = 10,378.64 × 4,163.62
  4. Step 4: Simplify right side
    7,520.92x = 43,212,713.08
  5. Step 5: Solve for x
    x = 43,212,713.08/7,520.92
  6. Step 6: Final answer
    x = 5,745.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.