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Finding the Fourth Proportional to 10,846.26, 16,270.02 and 4,270.68

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Solution

The fourth proportional to 10,846.26, 16,270.02 and 4,270.68 is: 6,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.26 : 16,270.02 = 4,270.68 : x
  2. Step 2: Convert to fraction form
    10,846.26/16,270.02 = 4,270.68/x
  3. Step 3: Cross multiply
    10,846.26x = 16,270.02 × 4,270.68
  4. Step 4: Simplify right side
    10,846.26x = 69,484,049.01
  5. Step 5: Solve for x
    x = 69,484,049.01/10,846.26
  6. Step 6: Final answer
    x = 6,406.27

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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.