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Finding the Fourth Proportional to 7,861.84, 11,793.20 and 3,181.16

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Solution

The fourth proportional to 7,861.84, 11,793.20 and 3,181.16 is: 4,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.84 : 11,793.20 = 3,181.16 : x
  2. Step 2: Convert to fraction form
    7,861.84/11,793.20 = 3,181.16/x
  3. Step 3: Cross multiply
    7,861.84x = 11,793.20 × 3,181.16
  4. Step 4: Simplify right side
    7,861.84x = 37,516,003.35
  5. Step 5: Solve for x
    x = 37,516,003.35/7,861.84
  6. Step 6: Final answer
    x = 4,771.91

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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.