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Finding the Fourth Proportional to 7,992.02, 11,988.57 and 3,832.94

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Solution

The fourth proportional to 7,992.02, 11,988.57 and 3,832.94 is: 5,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.02 : 11,988.57 = 3,832.94 : x
  2. Step 2: Convert to fraction form
    7,992.02/11,988.57 = 3,832.94/x
  3. Step 3: Cross multiply
    7,992.02x = 11,988.57 × 3,832.94
  4. Step 4: Simplify right side
    7,992.02x = 45,951,469.50
  5. Step 5: Solve for x
    x = 45,951,469.50/7,992.02
  6. Step 6: Final answer
    x = 5,749.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.