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Finding the Fourth Proportional to 7,161.09, 9,882.15 and 4,177.26

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Solution

The fourth proportional to 7,161.09, 9,882.15 and 4,177.26 is: 5,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.09 : 9,882.15 = 4,177.26 : x
  2. Step 2: Convert to fraction form
    7,161.09/9,882.15 = 4,177.26/x
  3. Step 3: Cross multiply
    7,161.09x = 9,882.15 × 4,177.26
  4. Step 4: Simplify right side
    7,161.09x = 41,280,309.91
  5. Step 5: Solve for x
    x = 41,280,309.91/7,161.09
  6. Step 6: Final answer
    x = 5,764.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.