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Finding the Fourth Proportional to 7,311.77, 10,969.15 and 2,380.09

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Solution

The fourth proportional to 7,311.77, 10,969.15 and 2,380.09 is: 3,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.77 : 10,969.15 = 2,380.09 : x
  2. Step 2: Convert to fraction form
    7,311.77/10,969.15 = 2,380.09/x
  3. Step 3: Cross multiply
    7,311.77x = 10,969.15 × 2,380.09
  4. Step 4: Simplify right side
    7,311.77x = 26,107,530.85
  5. Step 5: Solve for x
    x = 26,107,530.85/7,311.77
  6. Step 6: Final answer
    x = 3,570.62

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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.