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Finding the Fourth Proportional to 7,662.32, 11,493.74 and 2,467.52

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Solution

The fourth proportional to 7,662.32, 11,493.74 and 2,467.52 is: 3,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.32 : 11,493.74 = 2,467.52 : x
  2. Step 2: Convert to fraction form
    7,662.32/11,493.74 = 2,467.52/x
  3. Step 3: Cross multiply
    7,662.32x = 11,493.74 × 2,467.52
  4. Step 4: Simplify right side
    7,662.32x = 28,361,033.32
  5. Step 5: Solve for x
    x = 28,361,033.32/7,662.32
  6. Step 6: Final answer
    x = 3,701.36

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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.