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Finding the Fourth Proportional to 7,660.85, 11,491.20 and 2,114.24

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Solution

The fourth proportional to 7,660.85, 11,491.20 and 2,114.24 is: 3,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.85 : 11,491.20 = 2,114.24 : x
  2. Step 2: Convert to fraction form
    7,660.85/11,491.20 = 2,114.24/x
  3. Step 3: Cross multiply
    7,660.85x = 11,491.20 × 2,114.24
  4. Step 4: Simplify right side
    7,660.85x = 24,295,097.23
  5. Step 5: Solve for x
    x = 24,295,097.23/7,660.85
  6. Step 6: Final answer
    x = 3,171.33

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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.