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Finding the Fourth Proportional to 6,912.14, 10,367.60 and 1,980.86

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Solution

The fourth proportional to 6,912.14, 10,367.60 and 1,980.86 is: 2,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.14 : 10,367.60 = 1,980.86 : x
  2. Step 2: Convert to fraction form
    6,912.14/10,367.60 = 1,980.86/x
  3. Step 3: Cross multiply
    6,912.14x = 10,367.60 × 1,980.86
  4. Step 4: Simplify right side
    6,912.14x = 20,536,702.39
  5. Step 5: Solve for x
    x = 20,536,702.39/6,912.14
  6. Step 6: Final answer
    x = 2,971.11

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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.