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Finding the Fourth Proportional to 12,092.70, 16,685.82 and 6,787.74

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Solution

The fourth proportional to 12,092.70, 16,685.82 and 6,787.74 is: 9,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.70 : 16,685.82 = 6,787.74 : x
  2. Step 2: Convert to fraction form
    12,092.70/16,685.82 = 6,787.74/x
  3. Step 3: Cross multiply
    12,092.70x = 16,685.82 × 6,787.74
  4. Step 4: Simplify right side
    12,092.70x = 113,259,007.85
  5. Step 5: Solve for x
    x = 113,259,007.85/12,092.70
  6. Step 6: Final answer
    x = 9,365.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.