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Finding the Fourth Proportional to 7,237, 10,847.92 and 3,343.96

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Solution

The fourth proportional to 7,237, 10,847.92 and 3,343.96 is: 5,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237 : 10,847.92 = 3,343.96 : x
  2. Step 2: Convert to fraction form
    7,237/10,847.92 = 3,343.96/x
  3. Step 3: Cross multiply
    7,237x = 10,847.92 × 3,343.96
  4. Step 4: Simplify right side
    7,237x = 36,275,010.56
  5. Step 5: Solve for x
    x = 36,275,010.56/7,237
  6. Step 6: Final answer
    x = 5,012.44

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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.