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Finding the Fourth Proportional to 8,142.62, 12,214.60 and 2,299.28

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Solution

The fourth proportional to 8,142.62, 12,214.60 and 2,299.28 is: 3,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.62 : 12,214.60 = 2,299.28 : x
  2. Step 2: Convert to fraction form
    8,142.62/12,214.60 = 2,299.28/x
  3. Step 3: Cross multiply
    8,142.62x = 12,214.60 × 2,299.28
  4. Step 4: Simplify right side
    8,142.62x = 28,084,785.49
  5. Step 5: Solve for x
    x = 28,084,785.49/8,142.62
  6. Step 6: Final answer
    x = 3,449.11

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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.