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Finding the Fourth Proportional to 6,866.32, 10,285.74 and 3,163.48

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Solution

The fourth proportional to 6,866.32, 10,285.74 and 3,163.48 is: 4,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.32 : 10,285.74 = 3,163.48 : x
  2. Step 2: Convert to fraction form
    6,866.32/10,285.74 = 3,163.48/x
  3. Step 3: Cross multiply
    6,866.32x = 10,285.74 × 3,163.48
  4. Step 4: Simplify right side
    6,866.32x = 32,538,732.78
  5. Step 5: Solve for x
    x = 32,538,732.78/6,866.32
  6. Step 6: Final answer
    x = 4,738.89

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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.