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Finding the Fourth Proportional to 8,322.34, 11,469.04 and 5,960.38

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Solution

The fourth proportional to 8,322.34, 11,469.04 and 5,960.38 is: 8,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.34 : 11,469.04 = 5,960.38 : x
  2. Step 2: Convert to fraction form
    8,322.34/11,469.04 = 5,960.38/x
  3. Step 3: Cross multiply
    8,322.34x = 11,469.04 × 5,960.38
  4. Step 4: Simplify right side
    8,322.34x = 68,359,836.64
  5. Step 5: Solve for x
    x = 68,359,836.64/8,322.34
  6. Step 6: Final answer
    x = 8,214.02

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Why These Related Problems?

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