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Finding the Fourth Proportional to 7,464.92, 11,197.99 and 2,468.24

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Solution

The fourth proportional to 7,464.92, 11,197.99 and 2,468.24 is: 3,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.92 : 11,197.99 = 2,468.24 : x
  2. Step 2: Convert to fraction form
    7,464.92/11,197.99 = 2,468.24/x
  3. Step 3: Cross multiply
    7,464.92x = 11,197.99 × 2,468.24
  4. Step 4: Simplify right side
    7,464.92x = 27,639,270.85
  5. Step 5: Solve for x
    x = 27,639,270.85/7,464.92
  6. Step 6: Final answer
    x = 3,702.55

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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.