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Finding the Fourth Proportional to 11,885, 17,828.46 and 3,677

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Solution

The fourth proportional to 11,885, 17,828.46 and 3,677 is: 5,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885 : 17,828.46 = 3,677 : x
  2. Step 2: Convert to fraction form
    11,885/17,828.46 = 3,677/x
  3. Step 3: Cross multiply
    11,885x = 17,828.46 × 3,677
  4. Step 4: Simplify right side
    11,885x = 65,555,247.42
  5. Step 5: Solve for x
    x = 65,555,247.42/11,885
  6. Step 6: Final answer
    x = 5,515.80

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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.