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Finding the Fourth Proportional to 8,606.76, 12,911.14 and 3,676.96

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Solution

The fourth proportional to 8,606.76, 12,911.14 and 3,676.96 is: 5,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.76 : 12,911.14 = 3,676.96 : x
  2. Step 2: Convert to fraction form
    8,606.76/12,911.14 = 3,676.96/x
  3. Step 3: Cross multiply
    8,606.76x = 12,911.14 × 3,676.96
  4. Step 4: Simplify right side
    8,606.76x = 47,473,745.33
  5. Step 5: Solve for x
    x = 47,473,745.33/8,606.76
  6. Step 6: Final answer
    x = 5,515.87

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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.