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Finding the Fourth Proportional to 8,404.89, 12,609.15 and 2,561.34

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Solution

The fourth proportional to 8,404.89, 12,609.15 and 2,561.34 is: 3,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.89 : 12,609.15 = 2,561.34 : x
  2. Step 2: Convert to fraction form
    8,404.89/12,609.15 = 2,561.34/x
  3. Step 3: Cross multiply
    8,404.89x = 12,609.15 × 2,561.34
  4. Step 4: Simplify right side
    8,404.89x = 32,296,320.26
  5. Step 5: Solve for x
    x = 32,296,320.26/8,404.89
  6. Step 6: Final answer
    x = 3,842.56

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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.