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Finding the Fourth Proportional to 10,147.75, 14,003.90 and 6,168.12

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Solution

The fourth proportional to 10,147.75, 14,003.90 and 6,168.12 is: 8,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.75 : 14,003.90 = 6,168.12 : x
  2. Step 2: Convert to fraction form
    10,147.75/14,003.90 = 6,168.12/x
  3. Step 3: Cross multiply
    10,147.75x = 14,003.90 × 6,168.12
  4. Step 4: Simplify right side
    10,147.75x = 86,377,735.67
  5. Step 5: Solve for x
    x = 86,377,735.67/10,147.75
  6. Step 6: Final answer
    x = 8,512.01

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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.