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Finding the Fourth Proportional to 11,738.81, 17,604.50 and 3,839.50

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Solution

The fourth proportional to 11,738.81, 17,604.50 and 3,839.50 is: 5,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.81 : 17,604.50 = 3,839.50 : x
  2. Step 2: Convert to fraction form
    11,738.81/17,604.50 = 3,839.50/x
  3. Step 3: Cross multiply
    11,738.81x = 17,604.50 × 3,839.50
  4. Step 4: Simplify right side
    11,738.81x = 67,592,477.75
  5. Step 5: Solve for x
    x = 67,592,477.75/11,738.81
  6. Step 6: Final answer
    x = 5,758.03

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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.