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Finding the Fourth Proportional to 8,562.14, 12,842.78 and 2,718

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Solution

The fourth proportional to 8,562.14, 12,842.78 and 2,718 is: 4,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.14 : 12,842.78 = 2,718 : x
  2. Step 2: Convert to fraction form
    8,562.14/12,842.78 = 2,718/x
  3. Step 3: Cross multiply
    8,562.14x = 12,842.78 × 2,718
  4. Step 4: Simplify right side
    8,562.14x = 34,906,676.04
  5. Step 5: Solve for x
    x = 34,906,676.04/8,562.14
  6. Step 6: Final answer
    x = 4,076.86

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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.