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Finding the Fourth Proportional to 11,006.50, 16,512.86 and 4,338.88

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Solution

The fourth proportional to 11,006.50, 16,512.86 and 4,338.88 is: 6,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.50 : 16,512.86 = 4,338.88 : x
  2. Step 2: Convert to fraction form
    11,006.50/16,512.86 = 4,338.88/x
  3. Step 3: Cross multiply
    11,006.50x = 16,512.86 × 4,338.88
  4. Step 4: Simplify right side
    11,006.50x = 71,647,255.02
  5. Step 5: Solve for x
    x = 71,647,255.02/11,006.50
  6. Step 6: Final answer
    x = 6,509.54

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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.