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Finding the Fourth Proportional to 7,138.91, 10,708.44 and 3,190.37

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Solution

The fourth proportional to 7,138.91, 10,708.44 and 3,190.37 is: 4,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.91 : 10,708.44 = 3,190.37 : x
  2. Step 2: Convert to fraction form
    7,138.91/10,708.44 = 3,190.37/x
  3. Step 3: Cross multiply
    7,138.91x = 10,708.44 × 3,190.37
  4. Step 4: Simplify right side
    7,138.91x = 34,163,885.72
  5. Step 5: Solve for x
    x = 34,163,885.72/7,138.91
  6. Step 6: Final answer
    x = 4,785.59

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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.