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Finding the Fourth Proportional to 7,309.26, 10,967.07 and 2,380.44

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Solution

The fourth proportional to 7,309.26, 10,967.07 and 2,380.44 is: 3,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.26 : 10,967.07 = 2,380.44 : x
  2. Step 2: Convert to fraction form
    7,309.26/10,967.07 = 2,380.44/x
  3. Step 3: Cross multiply
    7,309.26x = 10,967.07 × 2,380.44
  4. Step 4: Simplify right side
    7,309.26x = 26,106,452.11
  5. Step 5: Solve for x
    x = 26,106,452.11/7,309.26
  6. Step 6: Final answer
    x = 3,571.70

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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.