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Finding the Fourth Proportional to 7,149.90, 10,727.91 and 2,770.44

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Solution

The fourth proportional to 7,149.90, 10,727.91 and 2,770.44 is: 4,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.90 : 10,727.91 = 2,770.44 : x
  2. Step 2: Convert to fraction form
    7,149.90/10,727.91 = 2,770.44/x
  3. Step 3: Cross multiply
    7,149.90x = 10,727.91 × 2,770.44
  4. Step 4: Simplify right side
    7,149.90x = 29,721,030.98
  5. Step 5: Solve for x
    x = 29,721,030.98/7,149.90
  6. Step 6: Final answer
    x = 4,156.85

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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.