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Finding the Fourth Proportional to 7,694.83, 11,549.39 and 3,949.29

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Solution

The fourth proportional to 7,694.83, 11,549.39 and 3,949.29 is: 5,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.83 : 11,549.39 = 3,949.29 : x
  2. Step 2: Convert to fraction form
    7,694.83/11,549.39 = 3,949.29/x
  3. Step 3: Cross multiply
    7,694.83x = 11,549.39 × 3,949.29
  4. Step 4: Simplify right side
    7,694.83x = 45,611,870.69
  5. Step 5: Solve for x
    x = 45,611,870.69/7,694.83
  6. Step 6: Final answer
    x = 5,927.60

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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.