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Finding the Fourth Proportional to 7,644.62, 11,467.48 and 2,450.18

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Solution

The fourth proportional to 7,644.62, 11,467.48 and 2,450.18 is: 3,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.62 : 11,467.48 = 2,450.18 : x
  2. Step 2: Convert to fraction form
    7,644.62/11,467.48 = 2,450.18/x
  3. Step 3: Cross multiply
    7,644.62x = 11,467.48 × 2,450.18
  4. Step 4: Simplify right side
    7,644.62x = 28,097,390.15
  5. Step 5: Solve for x
    x = 28,097,390.15/7,644.62
  6. Step 6: Final answer
    x = 3,675.45

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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.