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Finding the Fourth Proportional to 7,180.99, 9,910.15 and 4,198.57

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Solution

The fourth proportional to 7,180.99, 9,910.15 and 4,198.57 is: 5,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.99 : 9,910.15 = 4,198.57 : x
  2. Step 2: Convert to fraction form
    7,180.99/9,910.15 = 4,198.57/x
  3. Step 3: Cross multiply
    7,180.99x = 9,910.15 × 4,198.57
  4. Step 4: Simplify right side
    7,180.99x = 41,608,423.21
  5. Step 5: Solve for x
    x = 41,608,423.21/7,180.99
  6. Step 6: Final answer
    x = 5,794.25

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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.