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Finding the Fourth Proportional to 11,772.82, 16,247.01 and 7,057

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Solution

The fourth proportional to 11,772.82, 16,247.01 and 7,057 is: 9,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.82 : 16,247.01 = 7,057 : x
  2. Step 2: Convert to fraction form
    11,772.82/16,247.01 = 7,057/x
  3. Step 3: Cross multiply
    11,772.82x = 16,247.01 × 7,057
  4. Step 4: Simplify right side
    11,772.82x = 114,655,149.57
  5. Step 5: Solve for x
    x = 114,655,149.57/11,772.82
  6. Step 6: Final answer
    x = 9,738.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.