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Finding the Fourth Proportional to 11,077.88, 15,287.42 and 6,042.09

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Solution

The fourth proportional to 11,077.88, 15,287.42 and 6,042.09 is: 8,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.88 : 15,287.42 = 6,042.09 : x
  2. Step 2: Convert to fraction form
    11,077.88/15,287.42 = 6,042.09/x
  3. Step 3: Cross multiply
    11,077.88x = 15,287.42 × 6,042.09
  4. Step 4: Simplify right side
    11,077.88x = 92,367,937.30
  5. Step 5: Solve for x
    x = 92,367,937.30/11,077.88
  6. Step 6: Final answer
    x = 8,338.06

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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.