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Finding the Fourth Proportional to 6,164.98, 8,507.24 and 3,511.90

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Solution

The fourth proportional to 6,164.98, 8,507.24 and 3,511.90 is: 4,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.98 : 8,507.24 = 3,511.90 : x
  2. Step 2: Convert to fraction form
    6,164.98/8,507.24 = 3,511.90/x
  3. Step 3: Cross multiply
    6,164.98x = 8,507.24 × 3,511.90
  4. Step 4: Simplify right side
    6,164.98x = 29,876,558.60
  5. Step 5: Solve for x
    x = 29,876,558.60/6,164.98
  6. Step 6: Final answer
    x = 4,846.17

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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.