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Finding the Fourth Proportional to 10,846.88, 16,247.44 and 5,636.96

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Solution

The fourth proportional to 10,846.88, 16,247.44 and 5,636.96 is: 8,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.88 : 16,247.44 = 5,636.96 : x
  2. Step 2: Convert to fraction form
    10,846.88/16,247.44 = 5,636.96/x
  3. Step 3: Cross multiply
    10,846.88x = 16,247.44 × 5,636.96
  4. Step 4: Simplify right side
    10,846.88x = 91,586,169.38
  5. Step 5: Solve for x
    x = 91,586,169.38/10,846.88
  6. Step 6: Final answer
    x = 8,443.55

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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.