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Finding the Fourth Proportional to 7,857.86, 11,790.79 and 5,227.21

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Solution

The fourth proportional to 7,857.86, 11,790.79 and 5,227.21 is: 7,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.86 : 11,790.79 = 5,227.21 : x
  2. Step 2: Convert to fraction form
    7,857.86/11,790.79 = 5,227.21/x
  3. Step 3: Cross multiply
    7,857.86x = 11,790.79 × 5,227.21
  4. Step 4: Simplify right side
    7,857.86x = 61,632,937.07
  5. Step 5: Solve for x
    x = 61,632,937.07/7,857.86
  6. Step 6: Final answer
    x = 7,843.48

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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.