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Finding the Fourth Proportional to 6,921.57, 10,382.07 and 1,991.19

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Solution

The fourth proportional to 6,921.57, 10,382.07 and 1,991.19 is: 2,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.57 : 10,382.07 = 1,991.19 : x
  2. Step 2: Convert to fraction form
    6,921.57/10,382.07 = 1,991.19/x
  3. Step 3: Cross multiply
    6,921.57x = 10,382.07 × 1,991.19
  4. Step 4: Simplify right side
    6,921.57x = 20,672,673.96
  5. Step 5: Solve for x
    x = 20,672,673.96/6,921.57
  6. Step 6: Final answer
    x = 2,986.70

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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.