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Finding the Fourth Proportional to 11,082.60, 16,620.24 and 3,685

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Solution

The fourth proportional to 11,082.60, 16,620.24 and 3,685 is: 5,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.60 : 16,620.24 = 3,685 : x
  2. Step 2: Convert to fraction form
    11,082.60/16,620.24 = 3,685/x
  3. Step 3: Cross multiply
    11,082.60x = 16,620.24 × 3,685
  4. Step 4: Simplify right side
    11,082.60x = 61,245,584.40
  5. Step 5: Solve for x
    x = 61,245,584.40/11,082.60
  6. Step 6: Final answer
    x = 5,526.28

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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.