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Finding the Fourth Proportional to 8,189.17, 11,302.88 and 5,204.42

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Solution

The fourth proportional to 8,189.17, 11,302.88 and 5,204.42 is: 7,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.17 : 11,302.88 = 5,204.42 : x
  2. Step 2: Convert to fraction form
    8,189.17/11,302.88 = 5,204.42/x
  3. Step 3: Cross multiply
    8,189.17x = 11,302.88 × 5,204.42
  4. Step 4: Simplify right side
    8,189.17x = 58,824,934.73
  5. Step 5: Solve for x
    x = 58,824,934.73/8,189.17
  6. Step 6: Final answer
    x = 7,183.26

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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.