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Finding the Fourth Proportional to 7,183.00, 10,774.48 and 2,253.01

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Solution

The fourth proportional to 7,183.00, 10,774.48 and 2,253.01 is: 3,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.00 : 10,774.48 = 2,253.01 : x
  2. Step 2: Convert to fraction form
    7,183.00/10,774.48 = 2,253.01/x
  3. Step 3: Cross multiply
    7,183.00x = 10,774.48 × 2,253.01
  4. Step 4: Simplify right side
    7,183.00x = 24,274,978.62
  5. Step 5: Solve for x
    x = 24,274,978.62/7,183.00
  6. Step 6: Final answer
    x = 3,379.51

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Why These Related Problems?

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