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Finding the Fourth Proportional to 11,429.43, 15,773.74 and 7,183.69

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Solution

The fourth proportional to 11,429.43, 15,773.74 and 7,183.69 is: 9,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.43 : 15,773.74 = 7,183.69 : x
  2. Step 2: Convert to fraction form
    11,429.43/15,773.74 = 7,183.69/x
  3. Step 3: Cross multiply
    11,429.43x = 15,773.74 × 7,183.69
  4. Step 4: Simplify right side
    11,429.43x = 113,313,600.91
  5. Step 5: Solve for x
    x = 113,313,600.91/11,429.43
  6. Step 6: Final answer
    x = 9,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.