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Finding the Fourth Proportional to 7,662.24, 11,492.49 and 2,116.37

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Solution

The fourth proportional to 7,662.24, 11,492.49 and 2,116.37 is: 3,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.24 : 11,492.49 = 2,116.37 : x
  2. Step 2: Convert to fraction form
    7,662.24/11,492.49 = 2,116.37/x
  3. Step 3: Cross multiply
    7,662.24x = 11,492.49 × 2,116.37
  4. Step 4: Simplify right side
    7,662.24x = 24,322,397.73
  5. Step 5: Solve for x
    x = 24,322,397.73/7,662.24
  6. Step 6: Final answer
    x = 3,174.32

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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.