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Finding the Fourth Proportional to 8,371.14, 12,559.74 and 3,177

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Solution

The fourth proportional to 8,371.14, 12,559.74 and 3,177 is: 4,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.14 : 12,559.74 = 3,177 : x
  2. Step 2: Convert to fraction form
    8,371.14/12,559.74 = 3,177/x
  3. Step 3: Cross multiply
    8,371.14x = 12,559.74 × 3,177
  4. Step 4: Simplify right side
    8,371.14x = 39,902,293.98
  5. Step 5: Solve for x
    x = 39,902,293.98/8,371.14
  6. Step 6: Final answer
    x = 4,766.65

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Why These Related Problems?

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