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Finding the Fourth Proportional to 8,196.67, 12,288.61 and 3,813.55

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Solution

The fourth proportional to 8,196.67, 12,288.61 and 3,813.55 is: 5,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.67 : 12,288.61 = 3,813.55 : x
  2. Step 2: Convert to fraction form
    8,196.67/12,288.61 = 3,813.55/x
  3. Step 3: Cross multiply
    8,196.67x = 12,288.61 × 3,813.55
  4. Step 4: Simplify right side
    8,196.67x = 46,863,228.67
  5. Step 5: Solve for x
    x = 46,863,228.67/8,196.67
  6. Step 6: Final answer
    x = 5,717.35

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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.