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Finding the Fourth Proportional to 8,461.69, 12,692.53 and 2,305.69

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Solution

The fourth proportional to 8,461.69, 12,692.53 and 2,305.69 is: 3,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.69 : 12,692.53 = 2,305.69 : x
  2. Step 2: Convert to fraction form
    8,461.69/12,692.53 = 2,305.69/x
  3. Step 3: Cross multiply
    8,461.69x = 12,692.53 × 2,305.69
  4. Step 4: Simplify right side
    8,461.69x = 29,265,010.65
  5. Step 5: Solve for x
    x = 29,265,010.65/8,461.69
  6. Step 6: Final answer
    x = 3,458.53

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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.