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Finding the Fourth Proportional to 7,836.89, 11,755.40 and 1,993.50

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Solution

The fourth proportional to 7,836.89, 11,755.40 and 1,993.50 is: 2,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.89 : 11,755.40 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    7,836.89/11,755.40 = 1,993.50/x
  3. Step 3: Cross multiply
    7,836.89x = 11,755.40 × 1,993.50
  4. Step 4: Simplify right side
    7,836.89x = 23,434,379.93
  5. Step 5: Solve for x
    x = 23,434,379.93/7,836.89
  6. Step 6: Final answer
    x = 2,990.27

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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.