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Finding the Fourth Proportional to 11,882.15, 16,396.99 and 6,846.38

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Solution

The fourth proportional to 11,882.15, 16,396.99 and 6,846.38 is: 9,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.15 : 16,396.99 = 6,846.38 : x
  2. Step 2: Convert to fraction form
    11,882.15/16,396.99 = 6,846.38/x
  3. Step 3: Cross multiply
    11,882.15x = 16,396.99 × 6,846.38
  4. Step 4: Simplify right side
    11,882.15x = 112,260,024.40
  5. Step 5: Solve for x
    x = 112,260,024.40/11,882.15
  6. Step 6: Final answer
    x = 9,447.79

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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.