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Finding the Fourth Proportional to 10,921.68, 16,384.86 and 3,996

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Solution

The fourth proportional to 10,921.68, 16,384.86 and 3,996 is: 5,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.68 : 16,384.86 = 3,996 : x
  2. Step 2: Convert to fraction form
    10,921.68/16,384.86 = 3,996/x
  3. Step 3: Cross multiply
    10,921.68x = 16,384.86 × 3,996
  4. Step 4: Simplify right side
    10,921.68x = 65,473,900.56
  5. Step 5: Solve for x
    x = 65,473,900.56/10,921.68
  6. Step 6: Final answer
    x = 5,994.86

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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.