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Finding the Fourth Proportional to 7,937.82, 10,954.26 and 4,401

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Solution

The fourth proportional to 7,937.82, 10,954.26 and 4,401 is: 6,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.82 : 10,954.26 = 4,401 : x
  2. Step 2: Convert to fraction form
    7,937.82/10,954.26 = 4,401/x
  3. Step 3: Cross multiply
    7,937.82x = 10,954.26 × 4,401
  4. Step 4: Simplify right side
    7,937.82x = 48,209,698.26
  5. Step 5: Solve for x
    x = 48,209,698.26/7,937.82
  6. Step 6: Final answer
    x = 6,073.42

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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.