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Finding the Fourth Proportional to 8,196.49, 12,276.24 and 6,720.27

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Solution

The fourth proportional to 8,196.49, 12,276.24 and 6,720.27 is: 10,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.49 : 12,276.24 = 6,720.27 : x
  2. Step 2: Convert to fraction form
    8,196.49/12,276.24 = 6,720.27/x
  3. Step 3: Cross multiply
    8,196.49x = 12,276.24 × 6,720.27
  4. Step 4: Simplify right side
    8,196.49x = 82,499,647.38
  5. Step 5: Solve for x
    x = 82,499,647.38/8,196.49
  6. Step 6: Final answer
    x = 10,065.24

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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.