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Finding the Fourth Proportional to 7,934.90, 11,902.35 and 2,092.10

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Solution

The fourth proportional to 7,934.90, 11,902.35 and 2,092.10 is: 3,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.90 : 11,902.35 = 2,092.10 : x
  2. Step 2: Convert to fraction form
    7,934.90/11,902.35 = 2,092.10/x
  3. Step 3: Cross multiply
    7,934.90x = 11,902.35 × 2,092.10
  4. Step 4: Simplify right side
    7,934.90x = 24,900,906.44
  5. Step 5: Solve for x
    x = 24,900,906.44/7,934.90
  6. Step 6: Final answer
    x = 3,138.15

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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.