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Finding the Fourth Proportional to 8,364.57, 12,535.92 and 3,428.43

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Solution

The fourth proportional to 8,364.57, 12,535.92 and 3,428.43 is: 5,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.57 : 12,535.92 = 3,428.43 : x
  2. Step 2: Convert to fraction form
    8,364.57/12,535.92 = 3,428.43/x
  3. Step 3: Cross multiply
    8,364.57x = 12,535.92 × 3,428.43
  4. Step 4: Simplify right side
    8,364.57x = 42,978,524.21
  5. Step 5: Solve for x
    x = 42,978,524.21/8,364.57
  6. Step 6: Final answer
    x = 5,138.16

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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.