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Finding the Fourth Proportional to 7,051.96, 10,578.21 and 2,122.30

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Solution

The fourth proportional to 7,051.96, 10,578.21 and 2,122.30 is: 3,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.96 : 10,578.21 = 2,122.30 : x
  2. Step 2: Convert to fraction form
    7,051.96/10,578.21 = 2,122.30/x
  3. Step 3: Cross multiply
    7,051.96x = 10,578.21 × 2,122.30
  4. Step 4: Simplify right side
    7,051.96x = 22,450,135.08
  5. Step 5: Solve for x
    x = 22,450,135.08/7,051.96
  6. Step 6: Final answer
    x = 3,183.53

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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.