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Finding the Fourth Proportional to 10,864.68, 16,299.90 and 3,940.20

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Solution

The fourth proportional to 10,864.68, 16,299.90 and 3,940.20 is: 5,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.68 : 16,299.90 = 3,940.20 : x
  2. Step 2: Convert to fraction form
    10,864.68/16,299.90 = 3,940.20/x
  3. Step 3: Cross multiply
    10,864.68x = 16,299.90 × 3,940.20
  4. Step 4: Simplify right side
    10,864.68x = 64,224,865.98
  5. Step 5: Solve for x
    x = 64,224,865.98/10,864.68
  6. Step 6: Final answer
    x = 5,911.34

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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.