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Finding the Fourth Proportional to 7,138.44, 10,709.23 and 2,140.61

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Solution

The fourth proportional to 7,138.44, 10,709.23 and 2,140.61 is: 3,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.44 : 10,709.23 = 2,140.61 : x
  2. Step 2: Convert to fraction form
    7,138.44/10,709.23 = 2,140.61/x
  3. Step 3: Cross multiply
    7,138.44x = 10,709.23 × 2,140.61
  4. Step 4: Simplify right side
    7,138.44x = 22,924,220.58
  5. Step 5: Solve for x
    x = 22,924,220.58/7,138.44
  6. Step 6: Final answer
    x = 3,211.38

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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.