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Finding the Fourth Proportional to 6,808.49, 10,207.96 and 3,477.75

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Solution

The fourth proportional to 6,808.49, 10,207.96 and 3,477.75 is: 5,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.49 : 10,207.96 = 3,477.75 : x
  2. Step 2: Convert to fraction form
    6,808.49/10,207.96 = 3,477.75/x
  3. Step 3: Cross multiply
    6,808.49x = 10,207.96 × 3,477.75
  4. Step 4: Simplify right side
    6,808.49x = 35,500,685.92
  5. Step 5: Solve for x
    x = 35,500,685.92/6,808.49
  6. Step 6: Final answer
    x = 5,214.18

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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.