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Finding the Fourth Proportional to 8,261.75, 12,386.07 and 4,100.64

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Solution

The fourth proportional to 8,261.75, 12,386.07 and 4,100.64 is: 6,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.75 : 12,386.07 = 4,100.64 : x
  2. Step 2: Convert to fraction form
    8,261.75/12,386.07 = 4,100.64/x
  3. Step 3: Cross multiply
    8,261.75x = 12,386.07 × 4,100.64
  4. Step 4: Simplify right side
    8,261.75x = 50,790,814.08
  5. Step 5: Solve for x
    x = 50,790,814.08/8,261.75
  6. Step 6: Final answer
    x = 6,147.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.