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Finding the Fourth Proportional to 27,809.67, 41,714.06 and 6,749.88

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Solution

The fourth proportional to 27,809.67, 41,714.06 and 6,749.88 is: 10,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.67 : 41,714.06 = 6,749.88 : x
  2. Step 2: Convert to fraction form
    27,809.67/41,714.06 = 6,749.88/x
  3. Step 3: Cross multiply
    27,809.67x = 41,714.06 × 6,749.88
  4. Step 4: Simplify right side
    27,809.67x = 281,564,934.58
  5. Step 5: Solve for x
    x = 281,564,934.58/27,809.67
  6. Step 6: Final answer
    x = 10,124.71

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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.