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Finding the Fourth Proportional to 11,825.49, 17,722.91 and 4,797.32

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Solution

The fourth proportional to 11,825.49, 17,722.91 and 4,797.32 is: 7,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.49 : 17,722.91 = 4,797.32 : x
  2. Step 2: Convert to fraction form
    11,825.49/17,722.91 = 4,797.32/x
  3. Step 3: Cross multiply
    11,825.49x = 17,722.91 × 4,797.32
  4. Step 4: Simplify right side
    11,825.49x = 85,022,470.60
  5. Step 5: Solve for x
    x = 85,022,470.60/11,825.49
  6. Step 6: Final answer
    x = 7,189.76

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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.