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Finding the Fourth Proportional to 11,562.33, 17,338.92 and 4,164.21

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Solution

The fourth proportional to 11,562.33, 17,338.92 and 4,164.21 is: 6,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.33 : 17,338.92 = 4,164.21 : x
  2. Step 2: Convert to fraction form
    11,562.33/17,338.92 = 4,164.21/x
  3. Step 3: Cross multiply
    11,562.33x = 17,338.92 × 4,164.21
  4. Step 4: Simplify right side
    11,562.33x = 72,202,904.05
  5. Step 5: Solve for x
    x = 72,202,904.05/11,562.33
  6. Step 6: Final answer
    x = 6,244.67

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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.