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Finding the Fourth Proportional to 7,687.81, 11,533.44 and 2,351.43

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Solution

The fourth proportional to 7,687.81, 11,533.44 and 2,351.43 is: 3,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.81 : 11,533.44 = 2,351.43 : x
  2. Step 2: Convert to fraction form
    7,687.81/11,533.44 = 2,351.43/x
  3. Step 3: Cross multiply
    7,687.81x = 11,533.44 × 2,351.43
  4. Step 4: Simplify right side
    7,687.81x = 27,120,072.41
  5. Step 5: Solve for x
    x = 27,120,072.41/7,687.81
  6. Step 6: Final answer
    x = 3,527.67

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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.