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Finding the Fourth Proportional to 11,649.57, 17,468.67 and 3,855.75

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Solution

The fourth proportional to 11,649.57, 17,468.67 and 3,855.75 is: 5,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.57 : 17,468.67 = 3,855.75 : x
  2. Step 2: Convert to fraction form
    11,649.57/17,468.67 = 3,855.75/x
  3. Step 3: Cross multiply
    11,649.57x = 17,468.67 × 3,855.75
  4. Step 4: Simplify right side
    11,649.57x = 67,354,824.35
  5. Step 5: Solve for x
    x = 67,354,824.35/11,649.57
  6. Step 6: Final answer
    x = 5,781.74

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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.