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Finding the Fourth Proportional to 27,809.66, 41,714.14 and 6,749.88

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Solution

The fourth proportional to 27,809.66, 41,714.14 and 6,749.88 is: 10,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.66 : 41,714.14 = 6,749.88 : x
  2. Step 2: Convert to fraction form
    27,809.66/41,714.14 = 6,749.88/x
  3. Step 3: Cross multiply
    27,809.66x = 41,714.14 × 6,749.88
  4. Step 4: Simplify right side
    27,809.66x = 281,565,439.30
  5. Step 5: Solve for x
    x = 281,565,439.30/27,809.66
  6. Step 6: Final answer
    x = 10,124.74

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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.