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Finding the Fourth Proportional to 6,311.52, 8,707.23 and 3,793.68

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Solution

The fourth proportional to 6,311.52, 8,707.23 and 3,793.68 is: 5,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.52 : 8,707.23 = 3,793.68 : x
  2. Step 2: Convert to fraction form
    6,311.52/8,707.23 = 3,793.68/x
  3. Step 3: Cross multiply
    6,311.52x = 8,707.23 × 3,793.68
  4. Step 4: Simplify right side
    6,311.52x = 33,032,444.31
  5. Step 5: Solve for x
    x = 33,032,444.31/6,311.52
  6. Step 6: Final answer
    x = 5,233.67

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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.