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Finding the Fourth Proportional to 7,861.74, 11,793.36 and 2,930.22

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Solution

The fourth proportional to 7,861.74, 11,793.36 and 2,930.22 is: 4,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.74 : 11,793.36 = 2,930.22 : x
  2. Step 2: Convert to fraction form
    7,861.74/11,793.36 = 2,930.22/x
  3. Step 3: Cross multiply
    7,861.74x = 11,793.36 × 2,930.22
  4. Step 4: Simplify right side
    7,861.74x = 34,557,139.34
  5. Step 5: Solve for x
    x = 34,557,139.34/7,861.74
  6. Step 6: Final answer
    x = 4,395.61

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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.