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Finding the Fourth Proportional to 11,450.56, 17,175.27 and 6,709.40

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Solution

The fourth proportional to 11,450.56, 17,175.27 and 6,709.40 is: 10,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.56 : 17,175.27 = 6,709.40 : x
  2. Step 2: Convert to fraction form
    11,450.56/17,175.27 = 6,709.40/x
  3. Step 3: Cross multiply
    11,450.56x = 17,175.27 × 6,709.40
  4. Step 4: Simplify right side
    11,450.56x = 115,235,756.54
  5. Step 5: Solve for x
    x = 115,235,756.54/11,450.56
  6. Step 6: Final answer
    x = 10,063.77

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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.