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Finding the Fourth Proportional to 8,516.42, 12,770.20 and 3,832.38

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Solution

The fourth proportional to 8,516.42, 12,770.20 and 3,832.38 is: 5,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.42 : 12,770.20 = 3,832.38 : x
  2. Step 2: Convert to fraction form
    8,516.42/12,770.20 = 3,832.38/x
  3. Step 3: Cross multiply
    8,516.42x = 12,770.20 × 3,832.38
  4. Step 4: Simplify right side
    8,516.42x = 48,940,259.08
  5. Step 5: Solve for x
    x = 48,940,259.08/8,516.42
  6. Step 6: Final answer
    x = 5,746.58

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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.