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Finding the Fourth Proportional to 11,382.80, 17,072.64 and 3,063.20

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Solution

The fourth proportional to 11,382.80, 17,072.64 and 3,063.20 is: 4,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.80 : 17,072.64 = 3,063.20 : x
  2. Step 2: Convert to fraction form
    11,382.80/17,072.64 = 3,063.20/x
  3. Step 3: Cross multiply
    11,382.80x = 17,072.64 × 3,063.20
  4. Step 4: Simplify right side
    11,382.80x = 52,296,910.85
  5. Step 5: Solve for x
    x = 52,296,910.85/11,382.80
  6. Step 6: Final answer
    x = 4,594.38

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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.