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Finding the Fourth Proportional to 8,563.43, 11,816.16 and 5,204.45

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Solution

The fourth proportional to 8,563.43, 11,816.16 and 5,204.45 is: 7,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.43 : 11,816.16 = 5,204.45 : x
  2. Step 2: Convert to fraction form
    8,563.43/11,816.16 = 5,204.45/x
  3. Step 3: Cross multiply
    8,563.43x = 11,816.16 × 5,204.45
  4. Step 4: Simplify right side
    8,563.43x = 61,496,613.91
  5. Step 5: Solve for x
    x = 61,496,613.91/8,563.43
  6. Step 6: Final answer
    x = 7,181.31

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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.