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Finding the Fourth Proportional to 7,965.44, 11,939.16 and 3,802.04

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Solution

The fourth proportional to 7,965.44, 11,939.16 and 3,802.04 is: 5,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.44 : 11,939.16 = 3,802.04 : x
  2. Step 2: Convert to fraction form
    7,965.44/11,939.16 = 3,802.04/x
  3. Step 3: Cross multiply
    7,965.44x = 11,939.16 × 3,802.04
  4. Step 4: Simplify right side
    7,965.44x = 45,393,163.89
  5. Step 5: Solve for x
    x = 45,393,163.89/7,965.44
  6. Step 6: Final answer
    x = 5,698.76

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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.