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Finding the Fourth Proportional to 8,438.05, 12,654.75 and 2,514.67

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Solution

The fourth proportional to 8,438.05, 12,654.75 and 2,514.67 is: 3,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.05 : 12,654.75 = 2,514.67 : x
  2. Step 2: Convert to fraction form
    8,438.05/12,654.75 = 2,514.67/x
  3. Step 3: Cross multiply
    8,438.05x = 12,654.75 × 2,514.67
  4. Step 4: Simplify right side
    8,438.05x = 31,822,456.91
  5. Step 5: Solve for x
    x = 31,822,456.91/8,438.05
  6. Step 6: Final answer
    x = 3,771.31

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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.