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Finding the Fourth Proportional to 11,704.39, 16,152.21 and 6,399.21

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Solution

The fourth proportional to 11,704.39, 16,152.21 and 6,399.21 is: 8,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.39 : 16,152.21 = 6,399.21 : x
  2. Step 2: Convert to fraction form
    11,704.39/16,152.21 = 6,399.21/x
  3. Step 3: Cross multiply
    11,704.39x = 16,152.21 × 6,399.21
  4. Step 4: Simplify right side
    11,704.39x = 103,361,383.75
  5. Step 5: Solve for x
    x = 103,361,383.75/11,704.39
  6. Step 6: Final answer
    x = 8,830.99

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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.