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Finding the Fourth Proportional to 7,994.88, 11,984.22 and 3,828.78

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Solution

The fourth proportional to 7,994.88, 11,984.22 and 3,828.78 is: 5,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.88 : 11,984.22 = 3,828.78 : x
  2. Step 2: Convert to fraction form
    7,994.88/11,984.22 = 3,828.78/x
  3. Step 3: Cross multiply
    7,994.88x = 11,984.22 × 3,828.78
  4. Step 4: Simplify right side
    7,994.88x = 45,884,941.85
  5. Step 5: Solve for x
    x = 45,884,941.85/7,994.88
  6. Step 6: Final answer
    x = 5,739.29

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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.