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Finding the Fourth Proportional to 6,850.86, 10,276.36 and 5,857.23

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Solution

The fourth proportional to 6,850.86, 10,276.36 and 5,857.23 is: 8,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.86 : 10,276.36 = 5,857.23 : x
  2. Step 2: Convert to fraction form
    6,850.86/10,276.36 = 5,857.23/x
  3. Step 3: Cross multiply
    6,850.86x = 10,276.36 × 5,857.23
  4. Step 4: Simplify right side
    6,850.86x = 60,191,027.98
  5. Step 5: Solve for x
    x = 60,191,027.98/6,850.86
  6. Step 6: Final answer
    x = 8,785.91

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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.