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Finding the Fourth Proportional to 6,806.57, 10,208.33 and 2,645.19

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Solution

The fourth proportional to 6,806.57, 10,208.33 and 2,645.19 is: 3,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.57 : 10,208.33 = 2,645.19 : x
  2. Step 2: Convert to fraction form
    6,806.57/10,208.33 = 2,645.19/x
  3. Step 3: Cross multiply
    6,806.57x = 10,208.33 × 2,645.19
  4. Step 4: Simplify right side
    6,806.57x = 27,002,969.13
  5. Step 5: Solve for x
    x = 27,002,969.13/6,806.57
  6. Step 6: Final answer
    x = 3,967.19

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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.