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Finding the Fourth Proportional to 7,857.45, 11,786.16 and 2,014.05

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Solution

The fourth proportional to 7,857.45, 11,786.16 and 2,014.05 is: 3,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.45 : 11,786.16 = 2,014.05 : x
  2. Step 2: Convert to fraction form
    7,857.45/11,786.16 = 2,014.05/x
  3. Step 3: Cross multiply
    7,857.45x = 11,786.16 × 2,014.05
  4. Step 4: Simplify right side
    7,857.45x = 23,737,915.55
  5. Step 5: Solve for x
    x = 23,737,915.55/7,857.45
  6. Step 6: Final answer
    x = 3,021.07

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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.