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Finding the Fourth Proportional to 8,119.92, 12,183.66 and 4,657.17

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Solution

The fourth proportional to 8,119.92, 12,183.66 and 4,657.17 is: 6,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.92 : 12,183.66 = 4,657.17 : x
  2. Step 2: Convert to fraction form
    8,119.92/12,183.66 = 4,657.17/x
  3. Step 3: Cross multiply
    8,119.92x = 12,183.66 × 4,657.17
  4. Step 4: Simplify right side
    8,119.92x = 56,741,375.84
  5. Step 5: Solve for x
    x = 56,741,375.84/8,119.92
  6. Step 6: Final answer
    x = 6,987.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.