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Finding the Fourth Proportional to 11,523.21, 17,268.87 and 6,582.41

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Solution

The fourth proportional to 11,523.21, 17,268.87 and 6,582.41 is: 9,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.21 : 17,268.87 = 6,582.41 : x
  2. Step 2: Convert to fraction form
    11,523.21/17,268.87 = 6,582.41/x
  3. Step 3: Cross multiply
    11,523.21x = 17,268.87 × 6,582.41
  4. Step 4: Simplify right side
    11,523.21x = 113,670,864.30
  5. Step 5: Solve for x
    x = 113,670,864.30/11,523.21
  6. Step 6: Final answer
    x = 9,864.51

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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.