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Finding the Fourth Proportional to 7,965.27, 10,992.24 and 5,238.81

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Solution

The fourth proportional to 7,965.27, 10,992.24 and 5,238.81 is: 7,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.27 : 10,992.24 = 5,238.81 : x
  2. Step 2: Convert to fraction form
    7,965.27/10,992.24 = 5,238.81/x
  3. Step 3: Cross multiply
    7,965.27x = 10,992.24 × 5,238.81
  4. Step 4: Simplify right side
    7,965.27x = 57,586,256.83
  5. Step 5: Solve for x
    x = 57,586,256.83/7,965.27
  6. Step 6: Final answer
    x = 7,229.67

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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.