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Finding the Fourth Proportional to 8,042.97, 12,062.46 and 3,109.44

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Solution

The fourth proportional to 8,042.97, 12,062.46 and 3,109.44 is: 4,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.97 : 12,062.46 = 3,109.44 : x
  2. Step 2: Convert to fraction form
    8,042.97/12,062.46 = 3,109.44/x
  3. Step 3: Cross multiply
    8,042.97x = 12,062.46 × 3,109.44
  4. Step 4: Simplify right side
    8,042.97x = 37,507,495.62
  5. Step 5: Solve for x
    x = 37,507,495.62/8,042.97
  6. Step 6: Final answer
    x = 4,663.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.