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Finding the Fourth Proportional to 5,885.06, 8,103.62 and 5,086.97

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Solution

The fourth proportional to 5,885.06, 8,103.62 and 5,086.97 is: 7,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.06 : 8,103.62 = 5,086.97 : x
  2. Step 2: Convert to fraction form
    5,885.06/8,103.62 = 5,086.97/x
  3. Step 3: Cross multiply
    5,885.06x = 8,103.62 × 5,086.97
  4. Step 4: Simplify right side
    5,885.06x = 41,222,805.88
  5. Step 5: Solve for x
    x = 41,222,805.88/5,885.06
  6. Step 6: Final answer
    x = 7,004.66

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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.