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Finding the Fourth Proportional to 8,107.67, 12,161.55 and 2,264.30

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Solution

The fourth proportional to 8,107.67, 12,161.55 and 2,264.30 is: 3,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.67 : 12,161.55 = 2,264.30 : x
  2. Step 2: Convert to fraction form
    8,107.67/12,161.55 = 2,264.30/x
  3. Step 3: Cross multiply
    8,107.67x = 12,161.55 × 2,264.30
  4. Step 4: Simplify right side
    8,107.67x = 27,537,397.67
  5. Step 5: Solve for x
    x = 27,537,397.67/8,107.67
  6. Step 6: Final answer
    x = 3,396.46

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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.