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Finding the Fourth Proportional to 7,166.58, 9,890.50 and 4,183.37

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Solution

The fourth proportional to 7,166.58, 9,890.50 and 4,183.37 is: 5,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.58 : 9,890.50 = 4,183.37 : x
  2. Step 2: Convert to fraction form
    7,166.58/9,890.50 = 4,183.37/x
  3. Step 3: Cross multiply
    7,166.58x = 9,890.50 × 4,183.37
  4. Step 4: Simplify right side
    7,166.58x = 41,375,622.06
  5. Step 5: Solve for x
    x = 41,375,622.06/7,166.58
  6. Step 6: Final answer
    x = 5,773.42

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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.