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Finding the Fourth Proportional to 12,166.32, 16,789.46 and 6,861.18

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Solution

The fourth proportional to 12,166.32, 16,789.46 and 6,861.18 is: 9,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.32 : 16,789.46 = 6,861.18 : x
  2. Step 2: Convert to fraction form
    12,166.32/16,789.46 = 6,861.18/x
  3. Step 3: Cross multiply
    12,166.32x = 16,789.46 × 6,861.18
  4. Step 4: Simplify right side
    12,166.32x = 115,195,507.16
  5. Step 5: Solve for x
    x = 115,195,507.16/12,166.32
  6. Step 6: Final answer
    x = 9,468.39

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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.