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Finding the Fourth Proportional to 11,086.62, 16,616 and 5,541.50

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Solution

The fourth proportional to 11,086.62, 16,616 and 5,541.50 is: 8,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.62 : 16,616 = 5,541.50 : x
  2. Step 2: Convert to fraction form
    11,086.62/16,616 = 5,541.50/x
  3. Step 3: Cross multiply
    11,086.62x = 16,616 × 5,541.50
  4. Step 4: Simplify right side
    11,086.62x = 92,077,564
  5. Step 5: Solve for x
    x = 92,077,564/11,086.62
  6. Step 6: Final answer
    x = 8,305.29

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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.