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Finding the Fourth Proportional to 7,997.40, 11,992.86 and 2,802.60

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Solution

The fourth proportional to 7,997.40, 11,992.86 and 2,802.60 is: 4,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.40 : 11,992.86 = 2,802.60 : x
  2. Step 2: Convert to fraction form
    7,997.40/11,992.86 = 2,802.60/x
  3. Step 3: Cross multiply
    7,997.40x = 11,992.86 × 2,802.60
  4. Step 4: Simplify right side
    7,997.40x = 33,611,189.44
  5. Step 5: Solve for x
    x = 33,611,189.44/7,997.40
  6. Step 6: Final answer
    x = 4,202.76

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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.