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Finding the Fourth Proportional to 8,203.20, 12,302.40 and 3,271.68

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Solution

The fourth proportional to 8,203.20, 12,302.40 and 3,271.68 is: 4,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.20 : 12,302.40 = 3,271.68 : x
  2. Step 2: Convert to fraction form
    8,203.20/12,302.40 = 3,271.68/x
  3. Step 3: Cross multiply
    8,203.20x = 12,302.40 × 3,271.68
  4. Step 4: Simplify right side
    8,203.20x = 40,249,516.03
  5. Step 5: Solve for x
    x = 40,249,516.03/8,203.20
  6. Step 6: Final answer
    x = 4,906.56

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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.