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Finding the Fourth Proportional to 11,644.84, 17,464.38 and 3,325.60

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Solution

The fourth proportional to 11,644.84, 17,464.38 and 3,325.60 is: 4,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.84 : 17,464.38 = 3,325.60 : x
  2. Step 2: Convert to fraction form
    11,644.84/17,464.38 = 3,325.60/x
  3. Step 3: Cross multiply
    11,644.84x = 17,464.38 × 3,325.60
  4. Step 4: Simplify right side
    11,644.84x = 58,079,542.13
  5. Step 5: Solve for x
    x = 58,079,542.13/11,644.84
  6. Step 6: Final answer
    x = 4,987.58

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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.