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Finding the Fourth Proportional to 12,096.17, 16,691.79 and 6,789.95

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Solution

The fourth proportional to 12,096.17, 16,691.79 and 6,789.95 is: 9,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.17 : 16,691.79 = 6,789.95 : x
  2. Step 2: Convert to fraction form
    12,096.17/16,691.79 = 6,789.95/x
  3. Step 3: Cross multiply
    12,096.17x = 16,691.79 × 6,789.95
  4. Step 4: Simplify right side
    12,096.17x = 113,336,419.51
  5. Step 5: Solve for x
    x = 113,336,419.51/12,096.17
  6. Step 6: Final answer
    x = 9,369.61

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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.