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Finding the Fourth Proportional to 6,859.50, 10,288.17 and 2,965.02

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Solution

The fourth proportional to 6,859.50, 10,288.17 and 2,965.02 is: 4,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.50 : 10,288.17 = 2,965.02 : x
  2. Step 2: Convert to fraction form
    6,859.50/10,288.17 = 2,965.02/x
  3. Step 3: Cross multiply
    6,859.50x = 10,288.17 × 2,965.02
  4. Step 4: Simplify right side
    6,859.50x = 30,504,629.81
  5. Step 5: Solve for x
    x = 30,504,629.81/6,859.50
  6. Step 6: Final answer
    x = 4,447.06

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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.