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Finding the Fourth Proportional to 27,873.92, 41,810.70 and 6,814.04

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Solution

The fourth proportional to 27,873.92, 41,810.70 and 6,814.04 is: 10,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.92 : 41,810.70 = 6,814.04 : x
  2. Step 2: Convert to fraction form
    27,873.92/41,810.70 = 6,814.04/x
  3. Step 3: Cross multiply
    27,873.92x = 41,810.70 × 6,814.04
  4. Step 4: Simplify right side
    27,873.92x = 284,899,782.23
  5. Step 5: Solve for x
    x = 284,899,782.23/27,873.92
  6. Step 6: Final answer
    x = 10,221.02

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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.