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Finding the Fourth Proportional to 8,352.34, 12,527.43 and 3,972.58

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Solution

The fourth proportional to 8,352.34, 12,527.43 and 3,972.58 is: 5,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.34 : 12,527.43 = 3,972.58 : x
  2. Step 2: Convert to fraction form
    8,352.34/12,527.43 = 3,972.58/x
  3. Step 3: Cross multiply
    8,352.34x = 12,527.43 × 3,972.58
  4. Step 4: Simplify right side
    8,352.34x = 49,766,217.87
  5. Step 5: Solve for x
    x = 49,766,217.87/8,352.34
  6. Step 6: Final answer
    x = 5,958.36

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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.