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Finding the Fourth Proportional to 6,164.10, 8,506.08 and 3,511.62

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Solution

The fourth proportional to 6,164.10, 8,506.08 and 3,511.62 is: 4,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.10 : 8,506.08 = 3,511.62 : x
  2. Step 2: Convert to fraction form
    6,164.10/8,506.08 = 3,511.62/x
  3. Step 3: Cross multiply
    6,164.10x = 8,506.08 × 3,511.62
  4. Step 4: Simplify right side
    6,164.10x = 29,870,120.65
  5. Step 5: Solve for x
    x = 29,870,120.65/6,164.10
  6. Step 6: Final answer
    x = 4,845.82

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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.