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Finding the Fourth Proportional to 8,405.72, 12,609.96 and 2,859.56

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Solution

The fourth proportional to 8,405.72, 12,609.96 and 2,859.56 is: 4,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.72 : 12,609.96 = 2,859.56 : x
  2. Step 2: Convert to fraction form
    8,405.72/12,609.96 = 2,859.56/x
  3. Step 3: Cross multiply
    8,405.72x = 12,609.96 × 2,859.56
  4. Step 4: Simplify right side
    8,405.72x = 36,058,937.22
  5. Step 5: Solve for x
    x = 36,058,937.22/8,405.72
  6. Step 6: Final answer
    x = 4,289.81

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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.