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Finding the Fourth Proportional to 11,073.85, 16,611.23 and 3,679

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Solution

The fourth proportional to 11,073.85, 16,611.23 and 3,679 is: 5,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.85 : 16,611.23 = 3,679 : x
  2. Step 2: Convert to fraction form
    11,073.85/16,611.23 = 3,679/x
  3. Step 3: Cross multiply
    11,073.85x = 16,611.23 × 3,679
  4. Step 4: Simplify right side
    11,073.85x = 61,112,696.78
  5. Step 5: Solve for x
    x = 61,112,696.78/11,073.85
  6. Step 6: Final answer
    x = 5,518.65

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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.