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Finding the Fourth Proportional to 7,969.12, 11,958.12 and 3,292.56

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Solution

The fourth proportional to 7,969.12, 11,958.12 and 3,292.56 is: 4,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.12 : 11,958.12 = 3,292.56 : x
  2. Step 2: Convert to fraction form
    7,969.12/11,958.12 = 3,292.56/x
  3. Step 3: Cross multiply
    7,969.12x = 11,958.12 × 3,292.56
  4. Step 4: Simplify right side
    7,969.12x = 39,372,827.59
  5. Step 5: Solve for x
    x = 39,372,827.59/7,969.12
  6. Step 6: Final answer
    x = 4,940.67

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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.