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Finding the Fourth Proportional to 6,176.92, 8,524.08 and 3,382.42

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Solution

The fourth proportional to 6,176.92, 8,524.08 and 3,382.42 is: 4,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.92 : 8,524.08 = 3,382.42 : x
  2. Step 2: Convert to fraction form
    6,176.92/8,524.08 = 3,382.42/x
  3. Step 3: Cross multiply
    6,176.92x = 8,524.08 × 3,382.42
  4. Step 4: Simplify right side
    6,176.92x = 28,832,018.67
  5. Step 5: Solve for x
    x = 28,832,018.67/6,176.92
  6. Step 6: Final answer
    x = 4,667.70

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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.