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Finding the Fourth Proportional to 7,159.50, 10,739.61 and 2,542.86

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Solution

The fourth proportional to 7,159.50, 10,739.61 and 2,542.86 is: 3,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.50 : 10,739.61 = 2,542.86 : x
  2. Step 2: Convert to fraction form
    7,159.50/10,739.61 = 2,542.86/x
  3. Step 3: Cross multiply
    7,159.50x = 10,739.61 × 2,542.86
  4. Step 4: Simplify right side
    7,159.50x = 27,309,324.68
  5. Step 5: Solve for x
    x = 27,309,324.68/7,159.50
  6. Step 6: Final answer
    x = 3,814.42

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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.