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Finding the Fourth Proportional to 11,022.84, 16,536.66 and 3,627

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Solution

The fourth proportional to 11,022.84, 16,536.66 and 3,627 is: 5,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.84 : 16,536.66 = 3,627 : x
  2. Step 2: Convert to fraction form
    11,022.84/16,536.66 = 3,627/x
  3. Step 3: Cross multiply
    11,022.84x = 16,536.66 × 3,627
  4. Step 4: Simplify right side
    11,022.84x = 59,978,465.82
  5. Step 5: Solve for x
    x = 59,978,465.82/11,022.84
  6. Step 6: Final answer
    x = 5,441.29

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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.