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Finding the Fourth Proportional to 6,164.54, 8,507.13 and 3,511.94

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Solution

The fourth proportional to 6,164.54, 8,507.13 and 3,511.94 is: 4,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.54 : 8,507.13 = 3,511.94 : x
  2. Step 2: Convert to fraction form
    6,164.54/8,507.13 = 3,511.94/x
  3. Step 3: Cross multiply
    6,164.54x = 8,507.13 × 3,511.94
  4. Step 4: Simplify right side
    6,164.54x = 29,876,530.13
  5. Step 5: Solve for x
    x = 29,876,530.13/6,164.54
  6. Step 6: Final answer
    x = 4,846.51

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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.