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Finding the Fourth Proportional to 11,087.50, 16,636.49 and 5,541.30

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Solution

The fourth proportional to 11,087.50, 16,636.49 and 5,541.30 is: 8,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087.50 : 16,636.49 = 5,541.30 : x
  2. Step 2: Convert to fraction form
    11,087.50/16,636.49 = 5,541.30/x
  3. Step 3: Cross multiply
    11,087.50x = 16,636.49 × 5,541.30
  4. Step 4: Simplify right side
    11,087.50x = 92,187,782.04
  5. Step 5: Solve for x
    x = 92,187,782.04/11,087.50
  6. Step 6: Final answer
    x = 8,314.57

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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.