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Finding the Fourth Proportional to 7,660, 11,490.72 and 2,729.44

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Solution

The fourth proportional to 7,660, 11,490.72 and 2,729.44 is: 4,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660 : 11,490.72 = 2,729.44 : x
  2. Step 2: Convert to fraction form
    7,660/11,490.72 = 2,729.44/x
  3. Step 3: Cross multiply
    7,660x = 11,490.72 × 2,729.44
  4. Step 4: Simplify right side
    7,660x = 31,363,230.80
  5. Step 5: Solve for x
    x = 31,363,230.80/7,660
  6. Step 6: Final answer
    x = 4,094.42

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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.