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Finding the Fourth Proportional to 8,797.36, 13,196.04 and 8,214.16

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Solution

The fourth proportional to 8,797.36, 13,196.04 and 8,214.16 is: 12,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.36 : 13,196.04 = 8,214.16 : x
  2. Step 2: Convert to fraction form
    8,797.36/13,196.04 = 8,214.16/x
  3. Step 3: Cross multiply
    8,797.36x = 13,196.04 × 8,214.16
  4. Step 4: Simplify right side
    8,797.36x = 108,394,383.93
  5. Step 5: Solve for x
    x = 108,394,383.93/8,797.36
  6. Step 6: Final answer
    x = 12,321.24

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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.