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Finding the Fourth Proportional to 7,540.99, 10,406.22 and 4,183.78

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Solution

The fourth proportional to 7,540.99, 10,406.22 and 4,183.78 is: 5,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.99 : 10,406.22 = 4,183.78 : x
  2. Step 2: Convert to fraction form
    7,540.99/10,406.22 = 4,183.78/x
  3. Step 3: Cross multiply
    7,540.99x = 10,406.22 × 4,183.78
  4. Step 4: Simplify right side
    7,540.99x = 43,537,335.11
  5. Step 5: Solve for x
    x = 43,537,335.11/7,540.99
  6. Step 6: Final answer
    x = 5,773.42

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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.