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Finding the Fourth Proportional to 6,808.96, 10,206.16 and 3,521.20

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Solution

The fourth proportional to 6,808.96, 10,206.16 and 3,521.20 is: 5,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.96 : 10,206.16 = 3,521.20 : x
  2. Step 2: Convert to fraction form
    6,808.96/10,206.16 = 3,521.20/x
  3. Step 3: Cross multiply
    6,808.96x = 10,206.16 × 3,521.20
  4. Step 4: Simplify right side
    6,808.96x = 35,937,930.59
  5. Step 5: Solve for x
    x = 35,937,930.59/6,808.96
  6. Step 6: Final answer
    x = 5,278.04

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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.