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Finding the Fourth Proportional to 7,682.31, 11,527.08 and 3,982.53

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Solution

The fourth proportional to 7,682.31, 11,527.08 and 3,982.53 is: 5,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.31 : 11,527.08 = 3,982.53 : x
  2. Step 2: Convert to fraction form
    7,682.31/11,527.08 = 3,982.53/x
  3. Step 3: Cross multiply
    7,682.31x = 11,527.08 × 3,982.53
  4. Step 4: Simplify right side
    7,682.31x = 45,906,970.20
  5. Step 5: Solve for x
    x = 45,906,970.20/7,682.31
  6. Step 6: Final answer
    x = 5,975.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.