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Finding the Fourth Proportional to 8,129.97, 12,192.21 and 2,285.19

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Solution

The fourth proportional to 8,129.97, 12,192.21 and 2,285.19 is: 3,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.97 : 12,192.21 = 2,285.19 : x
  2. Step 2: Convert to fraction form
    8,129.97/12,192.21 = 2,285.19/x
  3. Step 3: Cross multiply
    8,129.97x = 12,192.21 × 2,285.19
  4. Step 4: Simplify right side
    8,129.97x = 27,861,516.37
  5. Step 5: Solve for x
    x = 27,861,516.37/8,129.97
  6. Step 6: Final answer
    x = 3,427.01

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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.