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Finding the Fourth Proportional to 7,839.89, 11,759.90 and 1,996.50

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Solution

The fourth proportional to 7,839.89, 11,759.90 and 1,996.50 is: 2,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.89 : 11,759.90 = 1,996.50 : x
  2. Step 2: Convert to fraction form
    7,839.89/11,759.90 = 1,996.50/x
  3. Step 3: Cross multiply
    7,839.89x = 11,759.90 × 1,996.50
  4. Step 4: Simplify right side
    7,839.89x = 23,478,640.35
  5. Step 5: Solve for x
    x = 23,478,640.35/7,839.89
  6. Step 6: Final answer
    x = 2,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.