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Finding the Fourth Proportional to 6,164.11, 8,506.85 and 3,511.77

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Solution

The fourth proportional to 6,164.11, 8,506.85 and 3,511.77 is: 4,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.11 : 8,506.85 = 3,511.77 : x
  2. Step 2: Convert to fraction form
    6,164.11/8,506.85 = 3,511.77/x
  3. Step 3: Cross multiply
    6,164.11x = 8,506.85 × 3,511.77
  4. Step 4: Simplify right side
    6,164.11x = 29,874,100.62
  5. Step 5: Solve for x
    x = 29,874,100.62/6,164.11
  6. Step 6: Final answer
    x = 4,846.46

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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.