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Finding the Fourth Proportional to 11,675.54, 16,112.38 and 6,370.30

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Solution

The fourth proportional to 11,675.54, 16,112.38 and 6,370.30 is: 8,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.54 : 16,112.38 = 6,370.30 : x
  2. Step 2: Convert to fraction form
    11,675.54/16,112.38 = 6,370.30/x
  3. Step 3: Cross multiply
    11,675.54x = 16,112.38 × 6,370.30
  4. Step 4: Simplify right side
    11,675.54x = 102,640,694.31
  5. Step 5: Solve for x
    x = 102,640,694.31/11,675.54
  6. Step 6: Final answer
    x = 8,791.09

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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.