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Finding the Fourth Proportional to 27,600.54, 41,394.93 and 7,873.80

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Solution

The fourth proportional to 27,600.54, 41,394.93 and 7,873.80 is: 11,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.54 : 41,394.93 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    27,600.54/41,394.93 = 7,873.80/x
  3. Step 3: Cross multiply
    27,600.54x = 41,394.93 × 7,873.80
  4. Step 4: Simplify right side
    27,600.54x = 325,935,399.83
  5. Step 5: Solve for x
    x = 325,935,399.83/27,600.54
  6. Step 6: Final answer
    x = 11,809.02

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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.