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Finding the Fourth Proportional to 11,813.13, 17,722.24 and 5,893.20

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Solution

The fourth proportional to 11,813.13, 17,722.24 and 5,893.20 is: 8,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.13 : 17,722.24 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    11,813.13/17,722.24 = 5,893.20/x
  3. Step 3: Cross multiply
    11,813.13x = 17,722.24 × 5,893.20
  4. Step 4: Simplify right side
    11,813.13x = 104,440,690.04
  5. Step 5: Solve for x
    x = 104,440,690.04/11,813.13
  6. Step 6: Final answer
    x = 8,841.07

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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.