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Finding the Fourth Proportional to 7,664.64, 11,493.12 and 2,469.12

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Solution

The fourth proportional to 7,664.64, 11,493.12 and 2,469.12 is: 3,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.64 : 11,493.12 = 2,469.12 : x
  2. Step 2: Convert to fraction form
    7,664.64/11,493.12 = 2,469.12/x
  3. Step 3: Cross multiply
    7,664.64x = 11,493.12 × 2,469.12
  4. Step 4: Simplify right side
    7,664.64x = 28,377,892.45
  5. Step 5: Solve for x
    x = 28,377,892.45/7,664.64
  6. Step 6: Final answer
    x = 3,702.44

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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.