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Finding the Fourth Proportional to 11,992.88, 17,994.51 and 6,439.74

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Solution

The fourth proportional to 11,992.88, 17,994.51 and 6,439.74 is: 9,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.88 : 17,994.51 = 6,439.74 : x
  2. Step 2: Convert to fraction form
    11,992.88/17,994.51 = 6,439.74/x
  3. Step 3: Cross multiply
    11,992.88x = 17,994.51 × 6,439.74
  4. Step 4: Simplify right side
    11,992.88x = 115,879,965.83
  5. Step 5: Solve for x
    x = 115,879,965.83/11,992.88
  6. Step 6: Final answer
    x = 9,662.40

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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.