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Finding the Fourth Proportional to 6,311.52, 8,709.48 and 3,792.14

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Solution

The fourth proportional to 6,311.52, 8,709.48 and 3,792.14 is: 5,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.52 : 8,709.48 = 3,792.14 : x
  2. Step 2: Convert to fraction form
    6,311.52/8,709.48 = 3,792.14/x
  3. Step 3: Cross multiply
    6,311.52x = 8,709.48 × 3,792.14
  4. Step 4: Simplify right side
    6,311.52x = 33,027,567.49
  5. Step 5: Solve for x
    x = 33,027,567.49/6,311.52
  6. Step 6: Final answer
    x = 5,232.90

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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.