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Finding the Fourth Proportional to 11,992.32, 17,977.59 and 4,196.88

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Solution

The fourth proportional to 11,992.32, 17,977.59 and 4,196.88 is: 6,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.32 : 17,977.59 = 4,196.88 : x
  2. Step 2: Convert to fraction form
    11,992.32/17,977.59 = 4,196.88/x
  3. Step 3: Cross multiply
    11,992.32x = 17,977.59 × 4,196.88
  4. Step 4: Simplify right side
    11,992.32x = 75,449,787.92
  5. Step 5: Solve for x
    x = 75,449,787.92/11,992.32
  6. Step 6: Final answer
    x = 6,291.51

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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.