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Finding the Fourth Proportional to 8,252.42, 12,380.63 and 4,744.67

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Solution

The fourth proportional to 8,252.42, 12,380.63 and 4,744.67 is: 7,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.42 : 12,380.63 = 4,744.67 : x
  2. Step 2: Convert to fraction form
    8,252.42/12,380.63 = 4,744.67/x
  3. Step 3: Cross multiply
    8,252.42x = 12,380.63 × 4,744.67
  4. Step 4: Simplify right side
    8,252.42x = 58,741,918.12
  5. Step 5: Solve for x
    x = 58,741,918.12/8,252.42
  6. Step 6: Final answer
    x = 7,118.15

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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.