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Finding the Fourth Proportional to 8,119.47, 12,177.82 and 2,274.73

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Solution

The fourth proportional to 8,119.47, 12,177.82 and 2,274.73 is: 3,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.47 : 12,177.82 = 2,274.73 : x
  2. Step 2: Convert to fraction form
    8,119.47/12,177.82 = 2,274.73/x
  3. Step 3: Cross multiply
    8,119.47x = 12,177.82 × 2,274.73
  4. Step 4: Simplify right side
    8,119.47x = 27,701,252.49
  5. Step 5: Solve for x
    x = 27,701,252.49/8,119.47
  6. Step 6: Final answer
    x = 3,411.71

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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.