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Finding the Fourth Proportional to 6,958.51, 10,438.22 and 2,277.26

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Solution

The fourth proportional to 6,958.51, 10,438.22 and 2,277.26 is: 3,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.51 : 10,438.22 = 2,277.26 : x
  2. Step 2: Convert to fraction form
    6,958.51/10,438.22 = 2,277.26/x
  3. Step 3: Cross multiply
    6,958.51x = 10,438.22 × 2,277.26
  4. Step 4: Simplify right side
    6,958.51x = 23,770,579.43
  5. Step 5: Solve for x
    x = 23,770,579.43/6,958.51
  6. Step 6: Final answer
    x = 3,416.05

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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.