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Finding the Fourth Proportional to 7,994.40, 11,983.48 and 3,828.30

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Solution

The fourth proportional to 7,994.40, 11,983.48 and 3,828.30 is: 5,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.40 : 11,983.48 = 3,828.30 : x
  2. Step 2: Convert to fraction form
    7,994.40/11,983.48 = 3,828.30/x
  3. Step 3: Cross multiply
    7,994.40x = 11,983.48 × 3,828.30
  4. Step 4: Simplify right side
    7,994.40x = 45,876,356.48
  5. Step 5: Solve for x
    x = 45,876,356.48/7,994.40
  6. Step 6: Final answer
    x = 5,738.56

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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.