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Finding the Fourth Proportional to 27,791.36, 41,693.16 and 8,070.56

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Solution

The fourth proportional to 27,791.36, 41,693.16 and 8,070.56 is: 12,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.36 : 41,693.16 = 8,070.56 : x
  2. Step 2: Convert to fraction form
    27,791.36/41,693.16 = 8,070.56/x
  3. Step 3: Cross multiply
    27,791.36x = 41,693.16 × 8,070.56
  4. Step 4: Simplify right side
    27,791.36x = 336,487,149.37
  5. Step 5: Solve for x
    x = 336,487,149.37/27,791.36
  6. Step 6: Final answer
    x = 12,107.62

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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.