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Finding the Fourth Proportional to 27,930.86, 41,895.93 and 6,871.08

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Solution

The fourth proportional to 27,930.86, 41,895.93 and 6,871.08 is: 10,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.86 : 41,895.93 = 6,871.08 : x
  2. Step 2: Convert to fraction form
    27,930.86/41,895.93 = 6,871.08/x
  3. Step 3: Cross multiply
    27,930.86x = 41,895.93 × 6,871.08
  4. Step 4: Simplify right side
    27,930.86x = 287,870,286.70
  5. Step 5: Solve for x
    x = 287,870,286.70/27,930.86
  6. Step 6: Final answer
    x = 10,306.53

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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.