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Finding the Fourth Proportional to 8,107.36, 12,161.07 and 2,264.02

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Solution

The fourth proportional to 8,107.36, 12,161.07 and 2,264.02 is: 3,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.36 : 12,161.07 = 2,264.02 : x
  2. Step 2: Convert to fraction form
    8,107.36/12,161.07 = 2,264.02/x
  3. Step 3: Cross multiply
    8,107.36x = 12,161.07 × 2,264.02
  4. Step 4: Simplify right side
    8,107.36x = 27,532,875.30
  5. Step 5: Solve for x
    x = 27,532,875.30/8,107.36
  6. Step 6: Final answer
    x = 3,396.04

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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.