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Finding the Fourth Proportional to 7,177.50, 10,763.37 and 3,843.90

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Solution

The fourth proportional to 7,177.50, 10,763.37 and 3,843.90 is: 5,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.50 : 10,763.37 = 3,843.90 : x
  2. Step 2: Convert to fraction form
    7,177.50/10,763.37 = 3,843.90/x
  3. Step 3: Cross multiply
    7,177.50x = 10,763.37 × 3,843.90
  4. Step 4: Simplify right side
    7,177.50x = 41,373,317.94
  5. Step 5: Solve for x
    x = 41,373,317.94/7,177.50
  6. Step 6: Final answer
    x = 5,764.31

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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.