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Finding the Fourth Proportional to 11,369.50, 17,049.49 and 6,698.90

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Solution

The fourth proportional to 11,369.50, 17,049.49 and 6,698.90 is: 10,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.50 : 17,049.49 = 6,698.90 : x
  2. Step 2: Convert to fraction form
    11,369.50/17,049.49 = 6,698.90/x
  3. Step 3: Cross multiply
    11,369.50x = 17,049.49 × 6,698.90
  4. Step 4: Simplify right side
    11,369.50x = 114,212,854.44
  5. Step 5: Solve for x
    x = 114,212,854.44/11,369.50
  6. Step 6: Final answer
    x = 10,045.55

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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.