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Finding the Fourth Proportional to 7,457.69, 11,183.77 and 2,191.25

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Solution

The fourth proportional to 7,457.69, 11,183.77 and 2,191.25 is: 3,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.69 : 11,183.77 = 2,191.25 : x
  2. Step 2: Convert to fraction form
    7,457.69/11,183.77 = 2,191.25/x
  3. Step 3: Cross multiply
    7,457.69x = 11,183.77 × 2,191.25
  4. Step 4: Simplify right side
    7,457.69x = 24,506,436.01
  5. Step 5: Solve for x
    x = 24,506,436.01/7,457.69
  6. Step 6: Final answer
    x = 3,286.06

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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.