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Finding the Fourth Proportional to 7,644.56, 11,464.08 and 3,262.32

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Solution

The fourth proportional to 7,644.56, 11,464.08 and 3,262.32 is: 4,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.56 : 11,464.08 = 3,262.32 : x
  2. Step 2: Convert to fraction form
    7,644.56/11,464.08 = 3,262.32/x
  3. Step 3: Cross multiply
    7,644.56x = 11,464.08 × 3,262.32
  4. Step 4: Simplify right side
    7,644.56x = 37,399,497.47
  5. Step 5: Solve for x
    x = 37,399,497.47/7,644.56
  6. Step 6: Final answer
    x = 4,892.30

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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.