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Finding the Fourth Proportional to 6,771.19, 10,162.25 and 3,485.22

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Solution

The fourth proportional to 6,771.19, 10,162.25 and 3,485.22 is: 5,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.19 : 10,162.25 = 3,485.22 : x
  2. Step 2: Convert to fraction form
    6,771.19/10,162.25 = 3,485.22/x
  3. Step 3: Cross multiply
    6,771.19x = 10,162.25 × 3,485.22
  4. Step 4: Simplify right side
    6,771.19x = 35,417,659.52
  5. Step 5: Solve for x
    x = 35,417,659.52/6,771.19
  6. Step 6: Final answer
    x = 5,230.64

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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.