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Finding the Fourth Proportional to 8,351.40, 12,533.18 and 6,727.56

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Solution

The fourth proportional to 8,351.40, 12,533.18 and 6,727.56 is: 10,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.40 : 12,533.18 = 6,727.56 : x
  2. Step 2: Convert to fraction form
    8,351.40/12,533.18 = 6,727.56/x
  3. Step 3: Cross multiply
    8,351.40x = 12,533.18 × 6,727.56
  4. Step 4: Simplify right side
    8,351.40x = 84,317,720.44
  5. Step 5: Solve for x
    x = 84,317,720.44/8,351.40
  6. Step 6: Final answer
    x = 10,096.24

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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.