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Finding the Fourth Proportional to 7,958.22, 11,938.71 and 3,028.29

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Solution

The fourth proportional to 7,958.22, 11,938.71 and 3,028.29 is: 4,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.22 : 11,938.71 = 3,028.29 : x
  2. Step 2: Convert to fraction form
    7,958.22/11,938.71 = 3,028.29/x
  3. Step 3: Cross multiply
    7,958.22x = 11,938.71 × 3,028.29
  4. Step 4: Simplify right side
    7,958.22x = 36,153,876.11
  5. Step 5: Solve for x
    x = 36,153,876.11/7,958.22
  6. Step 6: Final answer
    x = 4,542.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.