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Finding the Fourth Proportional to 11,185.50, 16,778.39 and 5,029.50

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Solution

The fourth proportional to 11,185.50, 16,778.39 and 5,029.50 is: 7,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.50 : 16,778.39 = 5,029.50 : x
  2. Step 2: Convert to fraction form
    11,185.50/16,778.39 = 5,029.50/x
  3. Step 3: Cross multiply
    11,185.50x = 16,778.39 × 5,029.50
  4. Step 4: Simplify right side
    11,185.50x = 84,386,887.36
  5. Step 5: Solve for x
    x = 84,386,887.36/11,185.50
  6. Step 6: Final answer
    x = 7,544.31

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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.