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Finding the Fourth Proportional to 8,274.97, 12,414.29 and 3,080.84

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Solution

The fourth proportional to 8,274.97, 12,414.29 and 3,080.84 is: 4,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.97 : 12,414.29 = 3,080.84 : x
  2. Step 2: Convert to fraction form
    8,274.97/12,414.29 = 3,080.84/x
  3. Step 3: Cross multiply
    8,274.97x = 12,414.29 × 3,080.84
  4. Step 4: Simplify right side
    8,274.97x = 38,246,441.20
  5. Step 5: Solve for x
    x = 38,246,441.20/8,274.97
  6. Step 6: Final answer
    x = 4,621.94

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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.