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Finding the Fourth Proportional to 11,324.36, 16,971.51 and 5,083.22

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Solution

The fourth proportional to 11,324.36, 16,971.51 and 5,083.22 is: 7,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.36 : 16,971.51 = 5,083.22 : x
  2. Step 2: Convert to fraction form
    11,324.36/16,971.51 = 5,083.22/x
  3. Step 3: Cross multiply
    11,324.36x = 16,971.51 × 5,083.22
  4. Step 4: Simplify right side
    11,324.36x = 86,269,834.20
  5. Step 5: Solve for x
    x = 86,269,834.20/11,324.36
  6. Step 6: Final answer
    x = 7,618.07

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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.