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Finding the Fourth Proportional to 11,085.69, 16,609.73 and 6,693.90

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Solution

The fourth proportional to 11,085.69, 16,609.73 and 6,693.90 is: 10,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.69 : 16,609.73 = 6,693.90 : x
  2. Step 2: Convert to fraction form
    11,085.69/16,609.73 = 6,693.90/x
  3. Step 3: Cross multiply
    11,085.69x = 16,609.73 × 6,693.90
  4. Step 4: Simplify right side
    11,085.69x = 111,183,838.18
  5. Step 5: Solve for x
    x = 111,183,838.18/11,085.69
  6. Step 6: Final answer
    x = 10,029.49

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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.