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Finding the Fourth Proportional to 7,382.26, 11,080.68 and 3,919.50

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Solution

The fourth proportional to 7,382.26, 11,080.68 and 3,919.50 is: 5,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.26 : 11,080.68 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    7,382.26/11,080.68 = 3,919.50/x
  3. Step 3: Cross multiply
    7,382.26x = 11,080.68 × 3,919.50
  4. Step 4: Simplify right side
    7,382.26x = 43,430,725.26
  5. Step 5: Solve for x
    x = 43,430,725.26/7,382.26
  6. Step 6: Final answer
    x = 5,883.12

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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.