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Finding the Fourth Proportional to 7,840.64, 11,761.02 and 1,997.25

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Solution

The fourth proportional to 7,840.64, 11,761.02 and 1,997.25 is: 2,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.64 : 11,761.02 = 1,997.25 : x
  2. Step 2: Convert to fraction form
    7,840.64/11,761.02 = 1,997.25/x
  3. Step 3: Cross multiply
    7,840.64x = 11,761.02 × 1,997.25
  4. Step 4: Simplify right side
    7,840.64x = 23,489,697.20
  5. Step 5: Solve for x
    x = 23,489,697.20/7,840.64
  6. Step 6: Final answer
    x = 2,995.89

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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.