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Finding the Fourth Proportional to 7,820.48, 11,722.44 and 3,922.76

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Solution

The fourth proportional to 7,820.48, 11,722.44 and 3,922.76 is: 5,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.48 : 11,722.44 = 3,922.76 : x
  2. Step 2: Convert to fraction form
    7,820.48/11,722.44 = 3,922.76/x
  3. Step 3: Cross multiply
    7,820.48x = 11,722.44 × 3,922.76
  4. Step 4: Simplify right side
    7,820.48x = 45,984,318.73
  5. Step 5: Solve for x
    x = 45,984,318.73/7,820.48
  6. Step 6: Final answer
    x = 5,879.99

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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.