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Finding the Fourth Proportional to 11,906.71, 16,444.71 and 8,123.38

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Solution

The fourth proportional to 11,906.71, 16,444.71 and 8,123.38 is: 11,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.71 : 16,444.71 = 8,123.38 : x
  2. Step 2: Convert to fraction form
    11,906.71/16,444.71 = 8,123.38/x
  3. Step 3: Cross multiply
    11,906.71x = 16,444.71 × 8,123.38
  4. Step 4: Simplify right side
    11,906.71x = 133,586,628.32
  5. Step 5: Solve for x
    x = 133,586,628.32/11,906.71
  6. Step 6: Final answer
    x = 11,219.44

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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.