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Finding the Fourth Proportional to 27,183.84, 40,769.37 and 7,463.94

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Solution

The fourth proportional to 27,183.84, 40,769.37 and 7,463.94 is: 11,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.84 : 40,769.37 = 7,463.94 : x
  2. Step 2: Convert to fraction form
    27,183.84/40,769.37 = 7,463.94/x
  3. Step 3: Cross multiply
    27,183.84x = 40,769.37 × 7,463.94
  4. Step 4: Simplify right side
    27,183.84x = 304,300,131.52
  5. Step 5: Solve for x
    x = 304,300,131.52/27,183.84
  6. Step 6: Final answer
    x = 11,194.16

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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.