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Finding the Fourth Proportional to 7,161.35, 10,744.16 and 3,873.56

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Solution

The fourth proportional to 7,161.35, 10,744.16 and 3,873.56 is: 5,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.35 : 10,744.16 = 3,873.56 : x
  2. Step 2: Convert to fraction form
    7,161.35/10,744.16 = 3,873.56/x
  3. Step 3: Cross multiply
    7,161.35x = 10,744.16 × 3,873.56
  4. Step 4: Simplify right side
    7,161.35x = 41,618,155.90
  5. Step 5: Solve for x
    x = 41,618,155.90/7,161.35
  6. Step 6: Final answer
    x = 5,811.49

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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.