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Finding the Fourth Proportional to 7,378.46, 10,182.21 and 4,234.67

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Solution

The fourth proportional to 7,378.46, 10,182.21 and 4,234.67 is: 5,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.46 : 10,182.21 = 4,234.67 : x
  2. Step 2: Convert to fraction form
    7,378.46/10,182.21 = 4,234.67/x
  3. Step 3: Cross multiply
    7,378.46x = 10,182.21 × 4,234.67
  4. Step 4: Simplify right side
    7,378.46x = 43,118,299.22
  5. Step 5: Solve for x
    x = 43,118,299.22/7,378.46
  6. Step 6: Final answer
    x = 5,843.81

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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.