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Finding the Fourth Proportional to 7,182.26, 9,910.62 and 4,195.92

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Solution

The fourth proportional to 7,182.26, 9,910.62 and 4,195.92 is: 5,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.26 : 9,910.62 = 4,195.92 : x
  2. Step 2: Convert to fraction form
    7,182.26/9,910.62 = 4,195.92/x
  3. Step 3: Cross multiply
    7,182.26x = 9,910.62 × 4,195.92
  4. Step 4: Simplify right side
    7,182.26x = 41,584,168.67
  5. Step 5: Solve for x
    x = 41,584,168.67/7,182.26
  6. Step 6: Final answer
    x = 5,789.84

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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.