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Finding the Fourth Proportional to 11,403.38, 15,736.50 and 6,367.68

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Solution

The fourth proportional to 11,403.38, 15,736.50 and 6,367.68 is: 8,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.38 : 15,736.50 = 6,367.68 : x
  2. Step 2: Convert to fraction form
    11,403.38/15,736.50 = 6,367.68/x
  3. Step 3: Cross multiply
    11,403.38x = 15,736.50 × 6,367.68
  4. Step 4: Simplify right side
    11,403.38x = 100,204,996.32
  5. Step 5: Solve for x
    x = 100,204,996.32/11,403.38
  6. Step 6: Final answer
    x = 8,787.31

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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.