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Finding the Fourth Proportional to 11,801.60, 16,286.32 and 6,496.61

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Solution

The fourth proportional to 11,801.60, 16,286.32 and 6,496.61 is: 8,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.60 : 16,286.32 = 6,496.61 : x
  2. Step 2: Convert to fraction form
    11,801.60/16,286.32 = 6,496.61/x
  3. Step 3: Cross multiply
    11,801.60x = 16,286.32 × 6,496.61
  4. Step 4: Simplify right side
    11,801.60x = 105,805,759.52
  5. Step 5: Solve for x
    x = 105,805,759.52/11,801.60
  6. Step 6: Final answer
    x = 8,965.38

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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.