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Finding the Fourth Proportional to 11,717.88, 17,583.32 and 4,797.24

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Solution

The fourth proportional to 11,717.88, 17,583.32 and 4,797.24 is: 7,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.88 : 17,583.32 = 4,797.24 : x
  2. Step 2: Convert to fraction form
    11,717.88/17,583.32 = 4,797.24/x
  3. Step 3: Cross multiply
    11,717.88x = 17,583.32 × 4,797.24
  4. Step 4: Simplify right side
    11,717.88x = 84,351,406.04
  5. Step 5: Solve for x
    x = 84,351,406.04/11,717.88
  6. Step 6: Final answer
    x = 7,198.52

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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.