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Finding the Fourth Proportional to 7,173.14, 10,761.87 and 2,556.50

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Solution

The fourth proportional to 7,173.14, 10,761.87 and 2,556.50 is: 3,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.14 : 10,761.87 = 2,556.50 : x
  2. Step 2: Convert to fraction form
    7,173.14/10,761.87 = 2,556.50/x
  3. Step 3: Cross multiply
    7,173.14x = 10,761.87 × 2,556.50
  4. Step 4: Simplify right side
    7,173.14x = 27,512,720.66
  5. Step 5: Solve for x
    x = 27,512,720.66/7,173.14
  6. Step 6: Final answer
    x = 3,835.52

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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.