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Finding the Fourth Proportional to 12,166.38, 16,790.17 and 6,861.08

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Solution

The fourth proportional to 12,166.38, 16,790.17 and 6,861.08 is: 9,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.38 : 16,790.17 = 6,861.08 : x
  2. Step 2: Convert to fraction form
    12,166.38/16,790.17 = 6,861.08/x
  3. Step 3: Cross multiply
    12,166.38x = 16,790.17 × 6,861.08
  4. Step 4: Simplify right side
    12,166.38x = 115,198,699.58
  5. Step 5: Solve for x
    x = 115,198,699.58/12,166.38
  6. Step 6: Final answer
    x = 9,468.61

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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.