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Finding the Fourth Proportional to 11,906.40, 16,433.20 and 6,873.92

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Solution

The fourth proportional to 11,906.40, 16,433.20 and 6,873.92 is: 9,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.40 : 16,433.20 = 6,873.92 : x
  2. Step 2: Convert to fraction form
    11,906.40/16,433.20 = 6,873.92/x
  3. Step 3: Cross multiply
    11,906.40x = 16,433.20 × 6,873.92
  4. Step 4: Simplify right side
    11,906.40x = 112,960,502.14
  5. Step 5: Solve for x
    x = 112,960,502.14/11,906.40
  6. Step 6: Final answer
    x = 9,487.38

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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.