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Finding the Fourth Proportional to 8,204.66, 12,309.68 and 3,271.58

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Solution

The fourth proportional to 8,204.66, 12,309.68 and 3,271.58 is: 4,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.66 : 12,309.68 = 3,271.58 : x
  2. Step 2: Convert to fraction form
    8,204.66/12,309.68 = 3,271.58/x
  3. Step 3: Cross multiply
    8,204.66x = 12,309.68 × 3,271.58
  4. Step 4: Simplify right side
    8,204.66x = 40,272,049.52
  5. Step 5: Solve for x
    x = 40,272,049.52/8,204.66
  6. Step 6: Final answer
    x = 4,908.44

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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.