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Finding the Fourth Proportional to 8,202.72, 12,303.30 and 3,271.04

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Solution

The fourth proportional to 8,202.72, 12,303.30 and 3,271.04 is: 4,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.72 : 12,303.30 = 3,271.04 : x
  2. Step 2: Convert to fraction form
    8,202.72/12,303.30 = 3,271.04/x
  3. Step 3: Cross multiply
    8,202.72x = 12,303.30 × 3,271.04
  4. Step 4: Simplify right side
    8,202.72x = 40,244,586.43
  5. Step 5: Solve for x
    x = 40,244,586.43/8,202.72
  6. Step 6: Final answer
    x = 4,906.25

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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.