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Finding the Fourth Proportional to 8,461.50, 12,692.86 and 2,617.36

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Solution

The fourth proportional to 8,461.50, 12,692.86 and 2,617.36 is: 3,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.50 : 12,692.86 = 2,617.36 : x
  2. Step 2: Convert to fraction form
    8,461.50/12,692.86 = 2,617.36/x
  3. Step 3: Cross multiply
    8,461.50x = 12,692.86 × 2,617.36
  4. Step 4: Simplify right side
    8,461.50x = 33,221,784.05
  5. Step 5: Solve for x
    x = 33,221,784.05/8,461.50
  6. Step 6: Final answer
    x = 3,926.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.