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Finding the Fourth Proportional to 8,196.12, 12,291.64 and 2,648.44

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Solution

The fourth proportional to 8,196.12, 12,291.64 and 2,648.44 is: 3,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.12 : 12,291.64 = 2,648.44 : x
  2. Step 2: Convert to fraction form
    8,196.12/12,291.64 = 2,648.44/x
  3. Step 3: Cross multiply
    8,196.12x = 12,291.64 × 2,648.44
  4. Step 4: Simplify right side
    8,196.12x = 32,553,671.04
  5. Step 5: Solve for x
    x = 32,553,671.04/8,196.12
  6. Step 6: Final answer
    x = 3,971.84

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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.