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Finding the Fourth Proportional to 8,163.74, 12,245.40 and 2,617.47

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Solution

The fourth proportional to 8,163.74, 12,245.40 and 2,617.47 is: 3,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.74 : 12,245.40 = 2,617.47 : x
  2. Step 2: Convert to fraction form
    8,163.74/12,245.40 = 2,617.47/x
  3. Step 3: Cross multiply
    8,163.74x = 12,245.40 × 2,617.47
  4. Step 4: Simplify right side
    8,163.74x = 32,051,967.14
  5. Step 5: Solve for x
    x = 32,051,967.14/8,163.74
  6. Step 6: Final answer
    x = 3,926.14

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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.