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Finding the Fourth Proportional to 8,195.22, 11,305.98 and 5,363.28

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Solution

The fourth proportional to 8,195.22, 11,305.98 and 5,363.28 is: 7,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.22 : 11,305.98 = 5,363.28 : x
  2. Step 2: Convert to fraction form
    8,195.22/11,305.98 = 5,363.28/x
  3. Step 3: Cross multiply
    8,195.22x = 11,305.98 × 5,363.28
  4. Step 4: Simplify right side
    8,195.22x = 60,637,136.41
  5. Step 5: Solve for x
    x = 60,637,136.41/8,195.22
  6. Step 6: Final answer
    x = 7,399.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.