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Finding the Fourth Proportional to 8,322.60, 11,469.38 and 5,960.64

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Solution

The fourth proportional to 8,322.60, 11,469.38 and 5,960.64 is: 8,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.60 : 11,469.38 = 5,960.64 : x
  2. Step 2: Convert to fraction form
    8,322.60/11,469.38 = 5,960.64/x
  3. Step 3: Cross multiply
    8,322.60x = 11,469.38 × 5,960.64
  4. Step 4: Simplify right side
    8,322.60x = 68,364,845.20
  5. Step 5: Solve for x
    x = 68,364,845.20/8,322.60
  6. Step 6: Final answer
    x = 8,214.36

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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.