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Finding the Fourth Proportional to 7,128.44, 10,694.49 and 2,967.07

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Solution

The fourth proportional to 7,128.44, 10,694.49 and 2,967.07 is: 4,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.44 : 10,694.49 = 2,967.07 : x
  2. Step 2: Convert to fraction form
    7,128.44/10,694.49 = 2,967.07/x
  3. Step 3: Cross multiply
    7,128.44x = 10,694.49 × 2,967.07
  4. Step 4: Simplify right side
    7,128.44x = 31,731,290.98
  5. Step 5: Solve for x
    x = 31,731,290.98/7,128.44
  6. Step 6: Final answer
    x = 4,451.36

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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.