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Finding the Fourth Proportional to 8,201.85, 11,318.55 and 4,475.85

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Solution

The fourth proportional to 8,201.85, 11,318.55 and 4,475.85 is: 6,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.85 : 11,318.55 = 4,475.85 : x
  2. Step 2: Convert to fraction form
    8,201.85/11,318.55 = 4,475.85/x
  3. Step 3: Cross multiply
    8,201.85x = 11,318.55 × 4,475.85
  4. Step 4: Simplify right side
    8,201.85x = 50,660,132.02
  5. Step 5: Solve for x
    x = 50,660,132.02/8,201.85
  6. Step 6: Final answer
    x = 6,176.67

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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.