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Finding the Fourth Proportional to 10,921.62, 16,384.05 and 3,994.50

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Solution

The fourth proportional to 10,921.62, 16,384.05 and 3,994.50 is: 5,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.62 : 16,384.05 = 3,994.50 : x
  2. Step 2: Convert to fraction form
    10,921.62/16,384.05 = 3,994.50/x
  3. Step 3: Cross multiply
    10,921.62x = 16,384.05 × 3,994.50
  4. Step 4: Simplify right side
    10,921.62x = 65,446,087.73
  5. Step 5: Solve for x
    x = 65,446,087.73/10,921.62
  6. Step 6: Final answer
    x = 5,992.34

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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.