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Finding the Fourth Proportional to 8,196.84, 12,295.26 and 3,003.12

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Solution

The fourth proportional to 8,196.84, 12,295.26 and 3,003.12 is: 4,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.84 : 12,295.26 = 3,003.12 : x
  2. Step 2: Convert to fraction form
    8,196.84/12,295.26 = 3,003.12/x
  3. Step 3: Cross multiply
    8,196.84x = 12,295.26 × 3,003.12
  4. Step 4: Simplify right side
    8,196.84x = 36,924,141.21
  5. Step 5: Solve for x
    x = 36,924,141.21/8,196.84
  6. Step 6: Final answer
    x = 4,504.68

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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.