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Finding the Fourth Proportional to 11,205.81, 16,805.98 and 4,633.88

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Solution

The fourth proportional to 11,205.81, 16,805.98 and 4,633.88 is: 6,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.81 : 16,805.98 = 4,633.88 : x
  2. Step 2: Convert to fraction form
    11,205.81/16,805.98 = 4,633.88/x
  3. Step 3: Cross multiply
    11,205.81x = 16,805.98 × 4,633.88
  4. Step 4: Simplify right side
    11,205.81x = 77,876,816.36
  5. Step 5: Solve for x
    x = 77,876,816.36/11,205.81
  6. Step 6: Final answer
    x = 6,949.68

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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.