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Finding the Fourth Proportional to 27,809.07, 41,713.25 and 6,749.28

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Solution

The fourth proportional to 27,809.07, 41,713.25 and 6,749.28 is: 10,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.07 : 41,713.25 = 6,749.28 : x
  2. Step 2: Convert to fraction form
    27,809.07/41,713.25 = 6,749.28/x
  3. Step 3: Cross multiply
    27,809.07x = 41,713.25 × 6,749.28
  4. Step 4: Simplify right side
    27,809.07x = 281,534,403.96
  5. Step 5: Solve for x
    x = 281,534,403.96/27,809.07
  6. Step 6: Final answer
    x = 10,123.83

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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.