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Finding the Fourth Proportional to 6,176.82, 8,524.01 and 3,382.32

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Solution

The fourth proportional to 6,176.82, 8,524.01 and 3,382.32 is: 4,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.82 : 8,524.01 = 3,382.32 : x
  2. Step 2: Convert to fraction form
    6,176.82/8,524.01 = 3,382.32/x
  3. Step 3: Cross multiply
    6,176.82x = 8,524.01 × 3,382.32
  4. Step 4: Simplify right side
    6,176.82x = 28,830,912.59
  5. Step 5: Solve for x
    x = 28,830,912.59/6,176.82
  6. Step 6: Final answer
    x = 4,667.60

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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.