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Finding the Fourth Proportional to 7,836.50, 11,755.44 and 2,906.19

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Solution

The fourth proportional to 7,836.50, 11,755.44 and 2,906.19 is: 4,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.50 : 11,755.44 = 2,906.19 : x
  2. Step 2: Convert to fraction form
    7,836.50/11,755.44 = 2,906.19/x
  3. Step 3: Cross multiply
    7,836.50x = 11,755.44 × 2,906.19
  4. Step 4: Simplify right side
    7,836.50x = 34,163,542.17
  5. Step 5: Solve for x
    x = 34,163,542.17/7,836.50
  6. Step 6: Final answer
    x = 4,359.54

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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.