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Finding the Fourth Proportional to 8,401, 11,596.26 and 5,089

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Solution

The fourth proportional to 8,401, 11,596.26 and 5,089 is: 7,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401 : 11,596.26 = 5,089 : x
  2. Step 2: Convert to fraction form
    8,401/11,596.26 = 5,089/x
  3. Step 3: Cross multiply
    8,401x = 11,596.26 × 5,089
  4. Step 4: Simplify right side
    8,401x = 59,013,367.14
  5. Step 5: Solve for x
    x = 59,013,367.14/8,401
  6. Step 6: Final answer
    x = 7,024.56

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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.