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Finding the Fourth Proportional to 10,968.50, 16,454.46 and 3,571.22

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Solution

The fourth proportional to 10,968.50, 16,454.46 and 3,571.22 is: 5,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.50 : 16,454.46 = 3,571.22 : x
  2. Step 2: Convert to fraction form
    10,968.50/16,454.46 = 3,571.22/x
  3. Step 3: Cross multiply
    10,968.50x = 16,454.46 × 3,571.22
  4. Step 4: Simplify right side
    10,968.50x = 58,762,414.37
  5. Step 5: Solve for x
    x = 58,762,414.37/10,968.50
  6. Step 6: Final answer
    x = 5,357.38

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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.