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Finding the Fourth Proportional to 10,287.94, 14,197.24 and 5,811.67

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Solution

The fourth proportional to 10,287.94, 14,197.24 and 5,811.67 is: 8,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.94 : 14,197.24 = 5,811.67 : x
  2. Step 2: Convert to fraction form
    10,287.94/14,197.24 = 5,811.67/x
  3. Step 3: Cross multiply
    10,287.94x = 14,197.24 × 5,811.67
  4. Step 4: Simplify right side
    10,287.94x = 82,509,673.79
  5. Step 5: Solve for x
    x = 82,509,673.79/10,287.94
  6. Step 6: Final answer
    x = 8,020.04

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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.