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Finding the Fourth Proportional to 7,183.26, 10,774.89 and 6,206.40

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Solution

The fourth proportional to 7,183.26, 10,774.89 and 6,206.40 is: 9,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.26 : 10,774.89 = 6,206.40 : x
  2. Step 2: Convert to fraction form
    7,183.26/10,774.89 = 6,206.40/x
  3. Step 3: Cross multiply
    7,183.26x = 10,774.89 × 6,206.40
  4. Step 4: Simplify right side
    7,183.26x = 66,873,277.30
  5. Step 5: Solve for x
    x = 66,873,277.30/7,183.26
  6. Step 6: Final answer
    x = 9,309.60

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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.