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Finding the Fourth Proportional to 8,196.26, 12,294.29 and 2,352.84

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Solution

The fourth proportional to 8,196.26, 12,294.29 and 2,352.84 is: 3,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.26 : 12,294.29 = 2,352.84 : x
  2. Step 2: Convert to fraction form
    8,196.26/12,294.29 = 2,352.84/x
  3. Step 3: Cross multiply
    8,196.26x = 12,294.29 × 2,352.84
  4. Step 4: Simplify right side
    8,196.26x = 28,926,485.52
  5. Step 5: Solve for x
    x = 28,926,485.52/8,196.26
  6. Step 6: Final answer
    x = 3,529.23

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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.