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Finding the Fourth Proportional to 7,183.89, 10,775.82 and 1,989.75

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Solution

The fourth proportional to 7,183.89, 10,775.82 and 1,989.75 is: 2,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.89 : 10,775.82 = 1,989.75 : x
  2. Step 2: Convert to fraction form
    7,183.89/10,775.82 = 1,989.75/x
  3. Step 3: Cross multiply
    7,183.89x = 10,775.82 × 1,989.75
  4. Step 4: Simplify right side
    7,183.89x = 21,441,187.85
  5. Step 5: Solve for x
    x = 21,441,187.85/7,183.89
  6. Step 6: Final answer
    x = 2,984.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.