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Finding the Fourth Proportional to 6,578.34, 9,072.45 and 5,861.49

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Solution

The fourth proportional to 6,578.34, 9,072.45 and 5,861.49 is: 8,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.34 : 9,072.45 = 5,861.49 : x
  2. Step 2: Convert to fraction form
    6,578.34/9,072.45 = 5,861.49/x
  3. Step 3: Cross multiply
    6,578.34x = 9,072.45 × 5,861.49
  4. Step 4: Simplify right side
    6,578.34x = 53,178,074.95
  5. Step 5: Solve for x
    x = 53,178,074.95/6,578.34
  6. Step 6: Final answer
    x = 8,083.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.