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Finding the Fourth Proportional to 11,813.24, 17,723.94 and 5,244.02

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Solution

The fourth proportional to 11,813.24, 17,723.94 and 5,244.02 is: 7,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.24 : 17,723.94 = 5,244.02 : x
  2. Step 2: Convert to fraction form
    11,813.24/17,723.94 = 5,244.02/x
  3. Step 3: Cross multiply
    11,813.24x = 17,723.94 × 5,244.02
  4. Step 4: Simplify right side
    11,813.24x = 92,944,695.84
  5. Step 5: Solve for x
    x = 92,944,695.84/11,813.24
  6. Step 6: Final answer
    x = 7,867.84

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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.