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Finding the Fourth Proportional to 6,857.32, 10,235.81 and 5,889.64

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Solution

The fourth proportional to 6,857.32, 10,235.81 and 5,889.64 is: 8,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.32 : 10,235.81 = 5,889.64 : x
  2. Step 2: Convert to fraction form
    6,857.32/10,235.81 = 5,889.64/x
  3. Step 3: Cross multiply
    6,857.32x = 10,235.81 × 5,889.64
  4. Step 4: Simplify right side
    6,857.32x = 60,285,236.01
  5. Step 5: Solve for x
    x = 60,285,236.01/6,857.32
  6. Step 6: Final answer
    x = 8,791.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.