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Finding the Fourth Proportional to 7,664.52, 11,493.90 and 2,469

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Solution

The fourth proportional to 7,664.52, 11,493.90 and 2,469 is: 3,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.52 : 11,493.90 = 2,469 : x
  2. Step 2: Convert to fraction form
    7,664.52/11,493.90 = 2,469/x
  3. Step 3: Cross multiply
    7,664.52x = 11,493.90 × 2,469
  4. Step 4: Simplify right side
    7,664.52x = 28,378,439.10
  5. Step 5: Solve for x
    x = 28,378,439.10/7,664.52
  6. Step 6: Final answer
    x = 3,702.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.