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Finding the Fourth Proportional to 8,461.94, 12,692.57 and 2,618.51

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Solution

The fourth proportional to 8,461.94, 12,692.57 and 2,618.51 is: 3,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.94 : 12,692.57 = 2,618.51 : x
  2. Step 2: Convert to fraction form
    8,461.94/12,692.57 = 2,618.51/x
  3. Step 3: Cross multiply
    8,461.94x = 12,692.57 × 2,618.51
  4. Step 4: Simplify right side
    8,461.94x = 33,235,544.92
  5. Step 5: Solve for x
    x = 33,235,544.92/8,461.94
  6. Step 6: Final answer
    x = 3,927.65

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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.