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Finding the Fourth Proportional to 7,540.67, 10,406.13 and 4,183.52

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Solution

The fourth proportional to 7,540.67, 10,406.13 and 4,183.52 is: 5,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.67 : 10,406.13 = 4,183.52 : x
  2. Step 2: Convert to fraction form
    7,540.67/10,406.13 = 4,183.52/x
  3. Step 3: Cross multiply
    7,540.67x = 10,406.13 × 4,183.52
  4. Step 4: Simplify right side
    7,540.67x = 43,534,278.99
  5. Step 5: Solve for x
    x = 43,534,278.99/7,540.67
  6. Step 6: Final answer
    x = 5,773.26

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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.