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Finding the Fourth Proportional to 6,808.56, 10,211.32 and 2,647.20

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Solution

The fourth proportional to 6,808.56, 10,211.32 and 2,647.20 is: 3,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.56 : 10,211.32 = 2,647.20 : x
  2. Step 2: Convert to fraction form
    6,808.56/10,211.32 = 2,647.20/x
  3. Step 3: Cross multiply
    6,808.56x = 10,211.32 × 2,647.20
  4. Step 4: Simplify right side
    6,808.56x = 27,031,406.30
  5. Step 5: Solve for x
    x = 27,031,406.30/6,808.56
  6. Step 6: Final answer
    x = 3,970.21

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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.