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Finding the Fourth Proportional to 6,967.98, 10,451.43 and 3,072.42

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Solution

The fourth proportional to 6,967.98, 10,451.43 and 3,072.42 is: 4,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.98 : 10,451.43 = 3,072.42 : x
  2. Step 2: Convert to fraction form
    6,967.98/10,451.43 = 3,072.42/x
  3. Step 3: Cross multiply
    6,967.98x = 10,451.43 × 3,072.42
  4. Step 4: Simplify right side
    6,967.98x = 32,111,182.56
  5. Step 5: Solve for x
    x = 32,111,182.56/6,967.98
  6. Step 6: Final answer
    x = 4,608.39

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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.