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Finding the Fourth Proportional to 8,405.76, 12,609.96 and 2,859.76

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Solution

The fourth proportional to 8,405.76, 12,609.96 and 2,859.76 is: 4,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.76 : 12,609.96 = 2,859.76 : x
  2. Step 2: Convert to fraction form
    8,405.76/12,609.96 = 2,859.76/x
  3. Step 3: Cross multiply
    8,405.76x = 12,609.96 × 2,859.76
  4. Step 4: Simplify right side
    8,405.76x = 36,061,459.21
  5. Step 5: Solve for x
    x = 36,061,459.21/8,405.76
  6. Step 6: Final answer
    x = 4,290.09

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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.