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Finding the Fourth Proportional to 8,676.76, 13,013.50 and 4,229.96

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Solution

The fourth proportional to 8,676.76, 13,013.50 and 4,229.96 is: 6,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.76 : 13,013.50 = 4,229.96 : x
  2. Step 2: Convert to fraction form
    8,676.76/13,013.50 = 4,229.96/x
  3. Step 3: Cross multiply
    8,676.76x = 13,013.50 × 4,229.96
  4. Step 4: Simplify right side
    8,676.76x = 55,046,498.24
  5. Step 5: Solve for x
    x = 55,046,498.24/8,676.76
  6. Step 6: Final answer
    x = 6,344.13

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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.