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Finding the Fourth Proportional to 7,662.64, 11,494.02 and 2,732.48

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Solution

The fourth proportional to 7,662.64, 11,494.02 and 2,732.48 is: 4,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.64 : 11,494.02 = 2,732.48 : x
  2. Step 2: Convert to fraction form
    7,662.64/11,494.02 = 2,732.48/x
  3. Step 3: Cross multiply
    7,662.64x = 11,494.02 × 2,732.48
  4. Step 4: Simplify right side
    7,662.64x = 31,407,179.77
  5. Step 5: Solve for x
    x = 31,407,179.77/7,662.64
  6. Step 6: Final answer
    x = 4,098.74

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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.