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Finding the Fourth Proportional to 7,183.96, 9,911.82 and 4,311.52

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Solution

The fourth proportional to 7,183.96, 9,911.82 and 4,311.52 is: 5,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.96 : 9,911.82 = 4,311.52 : x
  2. Step 2: Convert to fraction form
    7,183.96/9,911.82 = 4,311.52/x
  3. Step 3: Cross multiply
    7,183.96x = 9,911.82 × 4,311.52
  4. Step 4: Simplify right side
    7,183.96x = 42,735,010.17
  5. Step 5: Solve for x
    x = 42,735,010.17/7,183.96
  6. Step 6: Final answer
    x = 5,948.67

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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.