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Finding the Fourth Proportional to 8,092.84, 12,139.82 and 2,169.71

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Solution

The fourth proportional to 8,092.84, 12,139.82 and 2,169.71 is: 3,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.84 : 12,139.82 = 2,169.71 : x
  2. Step 2: Convert to fraction form
    8,092.84/12,139.82 = 2,169.71/x
  3. Step 3: Cross multiply
    8,092.84x = 12,139.82 × 2,169.71
  4. Step 4: Simplify right side
    8,092.84x = 26,339,917.31
  5. Step 5: Solve for x
    x = 26,339,917.31/8,092.84
  6. Step 6: Final answer
    x = 3,254.72

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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.