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Finding the Fourth Proportional to 11,990.76, 17,994.33 and 4,199.46

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Solution

The fourth proportional to 11,990.76, 17,994.33 and 4,199.46 is: 6,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.76 : 17,994.33 = 4,199.46 : x
  2. Step 2: Convert to fraction form
    11,990.76/17,994.33 = 4,199.46/x
  3. Step 3: Cross multiply
    11,990.76x = 17,994.33 × 4,199.46
  4. Step 4: Simplify right side
    11,990.76x = 75,566,469.06
  5. Step 5: Solve for x
    x = 75,566,469.06/11,990.76
  6. Step 6: Final answer
    x = 6,302.06

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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.