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Finding the Fourth Proportional to 7,168.50, 10,756.40 and 3,273.82

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Solution

The fourth proportional to 7,168.50, 10,756.40 and 3,273.82 is: 4,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.50 : 10,756.40 = 3,273.82 : x
  2. Step 2: Convert to fraction form
    7,168.50/10,756.40 = 3,273.82/x
  3. Step 3: Cross multiply
    7,168.50x = 10,756.40 × 3,273.82
  4. Step 4: Simplify right side
    7,168.50x = 35,214,474.19
  5. Step 5: Solve for x
    x = 35,214,474.19/7,168.50
  6. Step 6: Final answer
    x = 4,912.39

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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.