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Finding the Fourth Proportional to 6,176.77, 8,524.16 and 3,382.27

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Solution

The fourth proportional to 6,176.77, 8,524.16 and 3,382.27 is: 4,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.77 : 8,524.16 = 3,382.27 : x
  2. Step 2: Convert to fraction form
    6,176.77/8,524.16 = 3,382.27/x
  3. Step 3: Cross multiply
    6,176.77x = 8,524.16 × 3,382.27
  4. Step 4: Simplify right side
    6,176.77x = 28,831,010.64
  5. Step 5: Solve for x
    x = 28,831,010.64/6,176.77
  6. Step 6: Final answer
    x = 4,667.65

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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.