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Finding the Fourth Proportional to 6,176.31, 8,524.89 and 3,817.11

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Solution

The fourth proportional to 6,176.31, 8,524.89 and 3,817.11 is: 5,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.31 : 8,524.89 = 3,817.11 : x
  2. Step 2: Convert to fraction form
    6,176.31/8,524.89 = 3,817.11/x
  3. Step 3: Cross multiply
    6,176.31x = 8,524.89 × 3,817.11
  4. Step 4: Simplify right side
    6,176.31x = 32,540,442.87
  5. Step 5: Solve for x
    x = 32,540,442.87/6,176.31
  6. Step 6: Final answer
    x = 5,268.59

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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.