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Finding the Fourth Proportional to 11,589.78, 17,388.18 and 4,197.72

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Solution

The fourth proportional to 11,589.78, 17,388.18 and 4,197.72 is: 6,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.78 : 17,388.18 = 4,197.72 : x
  2. Step 2: Convert to fraction form
    11,589.78/17,388.18 = 4,197.72/x
  3. Step 3: Cross multiply
    11,589.78x = 17,388.18 × 4,197.72
  4. Step 4: Simplify right side
    11,589.78x = 72,990,710.95
  5. Step 5: Solve for x
    x = 72,990,710.95/11,589.78
  6. Step 6: Final answer
    x = 6,297.85

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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.