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Finding the Fourth Proportional to 7,840.89, 11,761.40 and 1,997.50

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Solution

The fourth proportional to 7,840.89, 11,761.40 and 1,997.50 is: 2,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.89 : 11,761.40 = 1,997.50 : x
  2. Step 2: Convert to fraction form
    7,840.89/11,761.40 = 1,997.50/x
  3. Step 3: Cross multiply
    7,840.89x = 11,761.40 × 1,997.50
  4. Step 4: Simplify right side
    7,840.89x = 23,493,396.50
  5. Step 5: Solve for x
    x = 23,493,396.50/7,840.89
  6. Step 6: Final answer
    x = 2,996.27

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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.