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Finding the Fourth Proportional to 11,821.34, 17,733.14 and 3,922.17

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Solution

The fourth proportional to 11,821.34, 17,733.14 and 3,922.17 is: 5,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.34 : 17,733.14 = 3,922.17 : x
  2. Step 2: Convert to fraction form
    11,821.34/17,733.14 = 3,922.17/x
  3. Step 3: Cross multiply
    11,821.34x = 17,733.14 × 3,922.17
  4. Step 4: Simplify right side
    11,821.34x = 69,552,370.10
  5. Step 5: Solve for x
    x = 69,552,370.10/11,821.34
  6. Step 6: Final answer
    x = 5,883.63

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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.