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Finding the Fourth Proportional to 6,164.28, 8,507.43 and 3,512.13

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Solution

The fourth proportional to 6,164.28, 8,507.43 and 3,512.13 is: 4,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.28 : 8,507.43 = 3,512.13 : x
  2. Step 2: Convert to fraction form
    6,164.28/8,507.43 = 3,512.13/x
  3. Step 3: Cross multiply
    6,164.28x = 8,507.43 × 3,512.13
  4. Step 4: Simplify right side
    6,164.28x = 29,879,200.13
  5. Step 5: Solve for x
    x = 29,879,200.13/6,164.28
  6. Step 6: Final answer
    x = 4,847.15

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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.