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Finding the Fourth Proportional to 8,274.79, 12,414 and 2,727.91

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Solution

The fourth proportional to 8,274.79, 12,414 and 2,727.91 is: 4,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.79 : 12,414 = 2,727.91 : x
  2. Step 2: Convert to fraction form
    8,274.79/12,414 = 2,727.91/x
  3. Step 3: Cross multiply
    8,274.79x = 12,414 × 2,727.91
  4. Step 4: Simplify right side
    8,274.79x = 33,864,274.74
  5. Step 5: Solve for x
    x = 33,864,274.74/8,274.79
  6. Step 6: Final answer
    x = 4,092.46

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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.