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Finding the Fourth Proportional to 10,816.80, 16,213.20 and 4,240.80

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Solution

The fourth proportional to 10,816.80, 16,213.20 and 4,240.80 is: 6,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.80 : 16,213.20 = 4,240.80 : x
  2. Step 2: Convert to fraction form
    10,816.80/16,213.20 = 4,240.80/x
  3. Step 3: Cross multiply
    10,816.80x = 16,213.20 × 4,240.80
  4. Step 4: Simplify right side
    10,816.80x = 68,756,938.56
  5. Step 5: Solve for x
    x = 68,756,938.56/10,816.80
  6. Step 6: Final answer
    x = 6,356.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.