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Finding the Fourth Proportional to 7,841.14, 11,762.35 and 1,997.73

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Solution

The fourth proportional to 7,841.14, 11,762.35 and 1,997.73 is: 2,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.14 : 11,762.35 = 1,997.73 : x
  2. Step 2: Convert to fraction form
    7,841.14/11,762.35 = 1,997.73/x
  3. Step 3: Cross multiply
    7,841.14x = 11,762.35 × 1,997.73
  4. Step 4: Simplify right side
    7,841.14x = 23,497,994.47
  5. Step 5: Solve for x
    x = 23,497,994.47/7,841.14
  6. Step 6: Final answer
    x = 2,996.76

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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.