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Finding the Fourth Proportional to 10,924.12, 16,384.56 and 3,997

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Solution

The fourth proportional to 10,924.12, 16,384.56 and 3,997 is: 5,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.12 : 16,384.56 = 3,997 : x
  2. Step 2: Convert to fraction form
    10,924.12/16,384.56 = 3,997/x
  3. Step 3: Cross multiply
    10,924.12x = 16,384.56 × 3,997
  4. Step 4: Simplify right side
    10,924.12x = 65,489,086.32
  5. Step 5: Solve for x
    x = 65,489,086.32/10,924.12
  6. Step 6: Final answer
    x = 5,994.91

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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.