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Finding the Fourth Proportional to 7,151.38, 10,725.80 and 2,765.22

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Solution

The fourth proportional to 7,151.38, 10,725.80 and 2,765.22 is: 4,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.38 : 10,725.80 = 2,765.22 : x
  2. Step 2: Convert to fraction form
    7,151.38/10,725.80 = 2,765.22/x
  3. Step 3: Cross multiply
    7,151.38x = 10,725.80 × 2,765.22
  4. Step 4: Simplify right side
    7,151.38x = 29,659,196.68
  5. Step 5: Solve for x
    x = 29,659,196.68/7,151.38
  6. Step 6: Final answer
    x = 4,147.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.