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Finding the Fourth Proportional to 11,007.50, 16,511.22 and 6,074.60

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Solution

The fourth proportional to 11,007.50, 16,511.22 and 6,074.60 is: 9,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.50 : 16,511.22 = 6,074.60 : x
  2. Step 2: Convert to fraction form
    11,007.50/16,511.22 = 6,074.60/x
  3. Step 3: Cross multiply
    11,007.50x = 16,511.22 × 6,074.60
  4. Step 4: Simplify right side
    11,007.50x = 100,299,057.01
  5. Step 5: Solve for x
    x = 100,299,057.01/11,007.50
  6. Step 6: Final answer
    x = 9,111.88

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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.