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Finding the Fourth Proportional to 11,801.68, 16,286.33 and 6,496.52

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Solution

The fourth proportional to 11,801.68, 16,286.33 and 6,496.52 is: 8,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.68 : 16,286.33 = 6,496.52 : x
  2. Step 2: Convert to fraction form
    11,801.68/16,286.33 = 6,496.52/x
  3. Step 3: Cross multiply
    11,801.68x = 16,286.33 × 6,496.52
  4. Step 4: Simplify right side
    11,801.68x = 105,804,403.38
  5. Step 5: Solve for x
    x = 105,804,403.38/11,801.68
  6. Step 6: Final answer
    x = 8,965.20

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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.