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Finding the Fourth Proportional to 11,841.31, 16,340.43 and 6,801.96

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Solution

The fourth proportional to 11,841.31, 16,340.43 and 6,801.96 is: 9,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.31 : 16,340.43 = 6,801.96 : x
  2. Step 2: Convert to fraction form
    11,841.31/16,340.43 = 6,801.96/x
  3. Step 3: Cross multiply
    11,841.31x = 16,340.43 × 6,801.96
  4. Step 4: Simplify right side
    11,841.31x = 111,146,951.24
  5. Step 5: Solve for x
    x = 111,146,951.24/11,841.31
  6. Step 6: Final answer
    x = 9,386.37

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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.