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Finding the Fourth Proportional to 10,003.29, 13,806.23 and 5,813.97

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Solution

The fourth proportional to 10,003.29, 13,806.23 and 5,813.97 is: 8,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.29 : 13,806.23 = 5,813.97 : x
  2. Step 2: Convert to fraction form
    10,003.29/13,806.23 = 5,813.97/x
  3. Step 3: Cross multiply
    10,003.29x = 13,806.23 × 5,813.97
  4. Step 4: Simplify right side
    10,003.29x = 80,268,977.96
  5. Step 5: Solve for x
    x = 80,268,977.96/10,003.29
  6. Step 6: Final answer
    x = 8,024.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.