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Finding the Fourth Proportional to 27,898.07, 41,847.09 and 7,121.57

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Solution

The fourth proportional to 27,898.07, 41,847.09 and 7,121.57 is: 10,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.07 : 41,847.09 = 7,121.57 : x
  2. Step 2: Convert to fraction form
    27,898.07/41,847.09 = 7,121.57/x
  3. Step 3: Cross multiply
    27,898.07x = 41,847.09 × 7,121.57
  4. Step 4: Simplify right side
    27,898.07x = 298,016,771.50
  5. Step 5: Solve for x
    x = 298,016,771.50/27,898.07
  6. Step 6: Final answer
    x = 10,682.35

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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.