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Finding the Fourth Proportional to 6,808.21, 10,209.69 and 4,035.64

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Solution

The fourth proportional to 6,808.21, 10,209.69 and 4,035.64 is: 6,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.21 : 10,209.69 = 4,035.64 : x
  2. Step 2: Convert to fraction form
    6,808.21/10,209.69 = 4,035.64/x
  3. Step 3: Cross multiply
    6,808.21x = 10,209.69 × 4,035.64
  4. Step 4: Simplify right side
    6,808.21x = 41,202,633.35
  5. Step 5: Solve for x
    x = 41,202,633.35/6,808.21
  6. Step 6: Final answer
    x = 6,051.90

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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.