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Finding the Fourth Proportional to 7,450.34, 11,173 and 3,006.85

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Solution

The fourth proportional to 7,450.34, 11,173 and 3,006.85 is: 4,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.34 : 11,173 = 3,006.85 : x
  2. Step 2: Convert to fraction form
    7,450.34/11,173 = 3,006.85/x
  3. Step 3: Cross multiply
    7,450.34x = 11,173 × 3,006.85
  4. Step 4: Simplify right side
    7,450.34x = 33,595,535.05
  5. Step 5: Solve for x
    x = 33,595,535.05/7,450.34
  6. Step 6: Final answer
    x = 4,509.26

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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.