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Finding the Fourth Proportional to 11,960.12, 16,504.49 and 6,654.83

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Solution

The fourth proportional to 11,960.12, 16,504.49 and 6,654.83 is: 9,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.12 : 16,504.49 = 6,654.83 : x
  2. Step 2: Convert to fraction form
    11,960.12/16,504.49 = 6,654.83/x
  3. Step 3: Cross multiply
    11,960.12x = 16,504.49 × 6,654.83
  4. Step 4: Simplify right side
    11,960.12x = 109,834,509.30
  5. Step 5: Solve for x
    x = 109,834,509.30/11,960.12
  6. Step 6: Final answer
    x = 9,183.39

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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.