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Finding the Fourth Proportional to 11,857, 17,782.80 and 4,462.24

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Solution

The fourth proportional to 11,857, 17,782.80 and 4,462.24 is: 6,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857 : 17,782.80 = 4,462.24 : x
  2. Step 2: Convert to fraction form
    11,857/17,782.80 = 4,462.24/x
  3. Step 3: Cross multiply
    11,857x = 17,782.80 × 4,462.24
  4. Step 4: Simplify right side
    11,857x = 79,351,121.47
  5. Step 5: Solve for x
    x = 79,351,121.47/11,857
  6. Step 6: Final answer
    x = 6,692.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.