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Finding the Fourth Proportional to 8,086.83, 12,130.24 and 2,243.44

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Solution

The fourth proportional to 8,086.83, 12,130.24 and 2,243.44 is: 3,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.83 : 12,130.24 = 2,243.44 : x
  2. Step 2: Convert to fraction form
    8,086.83/12,130.24 = 2,243.44/x
  3. Step 3: Cross multiply
    8,086.83x = 12,130.24 × 2,243.44
  4. Step 4: Simplify right side
    8,086.83x = 27,213,438.10
  5. Step 5: Solve for x
    x = 27,213,438.10/8,086.83
  6. Step 6: Final answer
    x = 3,365.16

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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.