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Finding the Fourth Proportional to 10,686.62, 16,031.22 and 4,450.86

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Solution

The fourth proportional to 10,686.62, 16,031.22 and 4,450.86 is: 6,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.62 : 16,031.22 = 4,450.86 : x
  2. Step 2: Convert to fraction form
    10,686.62/16,031.22 = 4,450.86/x
  3. Step 3: Cross multiply
    10,686.62x = 16,031.22 × 4,450.86
  4. Step 4: Simplify right side
    10,686.62x = 71,352,715.85
  5. Step 5: Solve for x
    x = 71,352,715.85/10,686.62
  6. Step 6: Final answer
    x = 6,676.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.