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Finding the Fourth Proportional to 11,912.38, 16,439.83 and 6,877.51

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Solution

The fourth proportional to 11,912.38, 16,439.83 and 6,877.51 is: 9,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.38 : 16,439.83 = 6,877.51 : x
  2. Step 2: Convert to fraction form
    11,912.38/16,439.83 = 6,877.51/x
  3. Step 3: Cross multiply
    11,912.38x = 16,439.83 × 6,877.51
  4. Step 4: Simplify right side
    11,912.38x = 113,065,036.93
  5. Step 5: Solve for x
    x = 113,065,036.93/11,912.38
  6. Step 6: Final answer
    x = 9,491.39

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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.