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Finding the Fourth Proportional to 7,540.76, 10,406.76 and 4,183.89

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Solution

The fourth proportional to 7,540.76, 10,406.76 and 4,183.89 is: 5,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.76 : 10,406.76 = 4,183.89 : x
  2. Step 2: Convert to fraction form
    7,540.76/10,406.76 = 4,183.89/x
  3. Step 3: Cross multiply
    7,540.76x = 10,406.76 × 4,183.89
  4. Step 4: Simplify right side
    7,540.76x = 43,540,739.10
  5. Step 5: Solve for x
    x = 43,540,739.10/7,540.76
  6. Step 6: Final answer
    x = 5,774.06

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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.