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Finding the Fourth Proportional to 7,662.46, 11,493.45 and 2,116.14

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Solution

The fourth proportional to 7,662.46, 11,493.45 and 2,116.14 is: 3,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.46 : 11,493.45 = 2,116.14 : x
  2. Step 2: Convert to fraction form
    7,662.46/11,493.45 = 2,116.14/x
  3. Step 3: Cross multiply
    7,662.46x = 11,493.45 × 2,116.14
  4. Step 4: Simplify right side
    7,662.46x = 24,321,749.28
  5. Step 5: Solve for x
    x = 24,321,749.28/7,662.46
  6. Step 6: Final answer
    x = 3,174.14

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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.