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Finding the Fourth Proportional to 7,847.37, 11,771.06 and 2,918.25

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Solution

The fourth proportional to 7,847.37, 11,771.06 and 2,918.25 is: 4,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.37 : 11,771.06 = 2,918.25 : x
  2. Step 2: Convert to fraction form
    7,847.37/11,771.06 = 2,918.25/x
  3. Step 3: Cross multiply
    7,847.37x = 11,771.06 × 2,918.25
  4. Step 4: Simplify right side
    7,847.37x = 34,350,895.85
  5. Step 5: Solve for x
    x = 34,350,895.85/7,847.37
  6. Step 6: Final answer
    x = 4,377.38

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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.