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Finding the Fourth Proportional to 6,164.98, 8,507.50 and 3,512.23

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Solution

The fourth proportional to 6,164.98, 8,507.50 and 3,512.23 is: 4,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.98 : 8,507.50 = 3,512.23 : x
  2. Step 2: Convert to fraction form
    6,164.98/8,507.50 = 3,512.23/x
  3. Step 3: Cross multiply
    6,164.98x = 8,507.50 × 3,512.23
  4. Step 4: Simplify right side
    6,164.98x = 29,880,266.68
  5. Step 5: Solve for x
    x = 29,880,266.68/6,164.98
  6. Step 6: Final answer
    x = 4,846.78

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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.