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Finding the Fourth Proportional to 7,738.90, 11,610.31 and 3,581.90

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Solution

The fourth proportional to 7,738.90, 11,610.31 and 3,581.90 is: 5,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.90 : 11,610.31 = 3,581.90 : x
  2. Step 2: Convert to fraction form
    7,738.90/11,610.31 = 3,581.90/x
  3. Step 3: Cross multiply
    7,738.90x = 11,610.31 × 3,581.90
  4. Step 4: Simplify right side
    7,738.90x = 41,586,969.39
  5. Step 5: Solve for x
    x = 41,586,969.39/7,738.90
  6. Step 6: Final answer
    x = 5,373.76

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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.