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Finding the Fourth Proportional to 8,164.20, 12,238.14 and 3,232.02

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Solution

The fourth proportional to 8,164.20, 12,238.14 and 3,232.02 is: 4,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.20 : 12,238.14 = 3,232.02 : x
  2. Step 2: Convert to fraction form
    8,164.20/12,238.14 = 3,232.02/x
  3. Step 3: Cross multiply
    8,164.20x = 12,238.14 × 3,232.02
  4. Step 4: Simplify right side
    8,164.20x = 39,553,913.24
  5. Step 5: Solve for x
    x = 39,553,913.24/8,164.20
  6. Step 6: Final answer
    x = 4,844.80

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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.