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Finding the Fourth Proportional to 8,107.70, 12,159.82 and 2,561.48

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Solution

The fourth proportional to 8,107.70, 12,159.82 and 2,561.48 is: 3,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.70 : 12,159.82 = 2,561.48 : x
  2. Step 2: Convert to fraction form
    8,107.70/12,159.82 = 2,561.48/x
  3. Step 3: Cross multiply
    8,107.70x = 12,159.82 × 2,561.48
  4. Step 4: Simplify right side
    8,107.70x = 31,147,135.73
  5. Step 5: Solve for x
    x = 31,147,135.73/8,107.70
  6. Step 6: Final answer
    x = 3,841.67

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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.