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Finding the Fourth Proportional to 6,816.54, 10,219.12 and 5,936.88

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Solution

The fourth proportional to 6,816.54, 10,219.12 and 5,936.88 is: 8,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.54 : 10,219.12 = 5,936.88 : x
  2. Step 2: Convert to fraction form
    6,816.54/10,219.12 = 5,936.88/x
  3. Step 3: Cross multiply
    6,816.54x = 10,219.12 × 5,936.88
  4. Step 4: Simplify right side
    6,816.54x = 60,669,689.15
  5. Step 5: Solve for x
    x = 60,669,689.15/6,816.54
  6. Step 6: Final answer
    x = 8,900.36

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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.