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Finding the Fourth Proportional to 7,861.66, 11,793.60 and 2,314.24

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Solution

The fourth proportional to 7,861.66, 11,793.60 and 2,314.24 is: 3,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.66 : 11,793.60 = 2,314.24 : x
  2. Step 2: Convert to fraction form
    7,861.66/11,793.60 = 2,314.24/x
  3. Step 3: Cross multiply
    7,861.66x = 11,793.60 × 2,314.24
  4. Step 4: Simplify right side
    7,861.66x = 27,293,220.86
  5. Step 5: Solve for x
    x = 27,293,220.86/7,861.66
  6. Step 6: Final answer
    x = 3,471.69

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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.