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Finding the Fourth Proportional to 6,027.16, 8,299.92 and 5,142.64

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Solution

The fourth proportional to 6,027.16, 8,299.92 and 5,142.64 is: 7,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.16 : 8,299.92 = 5,142.64 : x
  2. Step 2: Convert to fraction form
    6,027.16/8,299.92 = 5,142.64/x
  3. Step 3: Cross multiply
    6,027.16x = 8,299.92 × 5,142.64
  4. Step 4: Simplify right side
    6,027.16x = 42,683,500.59
  5. Step 5: Solve for x
    x = 42,683,500.59/6,027.16
  6. Step 6: Final answer
    x = 7,081.86

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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.