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Finding the Fourth Proportional to 7,809.26, 11,718.64 and 3,863.06

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Solution

The fourth proportional to 7,809.26, 11,718.64 and 3,863.06 is: 5,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.26 : 11,718.64 = 3,863.06 : x
  2. Step 2: Convert to fraction form
    7,809.26/11,718.64 = 3,863.06/x
  3. Step 3: Cross multiply
    7,809.26x = 11,718.64 × 3,863.06
  4. Step 4: Simplify right side
    7,809.26x = 45,269,809.44
  5. Step 5: Solve for x
    x = 45,269,809.44/7,809.26
  6. Step 6: Final answer
    x = 5,796.94

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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.