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Finding the Fourth Proportional to 8,188.94, 12,286 and 2,923.83

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Solution

The fourth proportional to 8,188.94, 12,286 and 2,923.83 is: 4,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.94 : 12,286 = 2,923.83 : x
  2. Step 2: Convert to fraction form
    8,188.94/12,286 = 2,923.83/x
  3. Step 3: Cross multiply
    8,188.94x = 12,286 × 2,923.83
  4. Step 4: Simplify right side
    8,188.94x = 35,922,175.38
  5. Step 5: Solve for x
    x = 35,922,175.38/8,188.94
  6. Step 6: Final answer
    x = 4,386.67

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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.