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Finding the Fourth Proportional to 8,196.81, 12,295.13 and 2,353.43

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Solution

The fourth proportional to 8,196.81, 12,295.13 and 2,353.43 is: 3,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.81 : 12,295.13 = 2,353.43 : x
  2. Step 2: Convert to fraction form
    8,196.81/12,295.13 = 2,353.43/x
  3. Step 3: Cross multiply
    8,196.81x = 12,295.13 × 2,353.43
  4. Step 4: Simplify right side
    8,196.81x = 28,935,654.55
  5. Step 5: Solve for x
    x = 28,935,654.55/8,196.81
  6. Step 6: Final answer
    x = 3,530.11

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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.