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Finding the Fourth Proportional to 10,846.74, 16,255.88 and 6,168.90

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Solution

The fourth proportional to 10,846.74, 16,255.88 and 6,168.90 is: 9,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.74 : 16,255.88 = 6,168.90 : x
  2. Step 2: Convert to fraction form
    10,846.74/16,255.88 = 6,168.90/x
  3. Step 3: Cross multiply
    10,846.74x = 16,255.88 × 6,168.90
  4. Step 4: Simplify right side
    10,846.74x = 100,280,832.27
  5. Step 5: Solve for x
    x = 100,280,832.27/10,846.74
  6. Step 6: Final answer
    x = 9,245.26

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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.