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Finding the Fourth Proportional to 7,343.64, 11,019.50 and 3,183.68

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Solution

The fourth proportional to 7,343.64, 11,019.50 and 3,183.68 is: 4,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.64 : 11,019.50 = 3,183.68 : x
  2. Step 2: Convert to fraction form
    7,343.64/11,019.50 = 3,183.68/x
  3. Step 3: Cross multiply
    7,343.64x = 11,019.50 × 3,183.68
  4. Step 4: Simplify right side
    7,343.64x = 35,082,561.76
  5. Step 5: Solve for x
    x = 35,082,561.76/7,343.64
  6. Step 6: Final answer
    x = 4,777.27

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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.