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Finding the Fourth Proportional to 8,106.63, 12,161.57 and 2,560.49

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Solution

The fourth proportional to 8,106.63, 12,161.57 and 2,560.49 is: 3,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.63 : 12,161.57 = 2,560.49 : x
  2. Step 2: Convert to fraction form
    8,106.63/12,161.57 = 2,560.49/x
  3. Step 3: Cross multiply
    8,106.63x = 12,161.57 × 2,560.49
  4. Step 4: Simplify right side
    8,106.63x = 31,139,578.37
  5. Step 5: Solve for x
    x = 31,139,578.37/8,106.63
  6. Step 6: Final answer
    x = 3,841.25

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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.