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Finding the Fourth Proportional to 8,129.53, 12,194.64 and 2,796.38

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Solution

The fourth proportional to 8,129.53, 12,194.64 and 2,796.38 is: 4,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.53 : 12,194.64 = 2,796.38 : x
  2. Step 2: Convert to fraction form
    8,129.53/12,194.64 = 2,796.38/x
  3. Step 3: Cross multiply
    8,129.53x = 12,194.64 × 2,796.38
  4. Step 4: Simplify right side
    8,129.53x = 34,100,847.40
  5. Step 5: Solve for x
    x = 34,100,847.40/8,129.53
  6. Step 6: Final answer
    x = 4,194.69

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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.