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Finding the Fourth Proportional to 7,077.96, 10,616.94 and 2,147.63

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Solution

The fourth proportional to 7,077.96, 10,616.94 and 2,147.63 is: 3,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.96 : 10,616.94 = 2,147.63 : x
  2. Step 2: Convert to fraction form
    7,077.96/10,616.94 = 2,147.63/x
  3. Step 3: Cross multiply
    7,077.96x = 10,616.94 × 2,147.63
  4. Step 4: Simplify right side
    7,077.96x = 22,801,205.77
  5. Step 5: Solve for x
    x = 22,801,205.77/7,077.96
  6. Step 6: Final answer
    x = 3,221.44

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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.