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Finding the Fourth Proportional to 8,676.67, 13,020.36 and 3,410.76

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Solution

The fourth proportional to 8,676.67, 13,020.36 and 3,410.76 is: 5,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.67 : 13,020.36 = 3,410.76 : x
  2. Step 2: Convert to fraction form
    8,676.67/13,020.36 = 3,410.76/x
  3. Step 3: Cross multiply
    8,676.67x = 13,020.36 × 3,410.76
  4. Step 4: Simplify right side
    8,676.67x = 44,409,306.80
  5. Step 5: Solve for x
    x = 44,409,306.80/8,676.67
  6. Step 6: Final answer
    x = 5,118.24

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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.