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Finding the Fourth Proportional to 11,536.56, 15,922.44 and 6,821.82

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Solution

The fourth proportional to 11,536.56, 15,922.44 and 6,821.82 is: 9,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.56 : 15,922.44 = 6,821.82 : x
  2. Step 2: Convert to fraction form
    11,536.56/15,922.44 = 6,821.82/x
  3. Step 3: Cross multiply
    11,536.56x = 15,922.44 × 6,821.82
  4. Step 4: Simplify right side
    11,536.56x = 108,620,019.64
  5. Step 5: Solve for x
    x = 108,620,019.64/11,536.56
  6. Step 6: Final answer
    x = 9,415.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.