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Finding the Fourth Proportional to 8,384.50, 12,578.69 and 2,461.15

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Solution

The fourth proportional to 8,384.50, 12,578.69 and 2,461.15 is: 3,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.50 : 12,578.69 = 2,461.15 : x
  2. Step 2: Convert to fraction form
    8,384.50/12,578.69 = 2,461.15/x
  3. Step 3: Cross multiply
    8,384.50x = 12,578.69 × 2,461.15
  4. Step 4: Simplify right side
    8,384.50x = 30,958,017.60
  5. Step 5: Solve for x
    x = 30,958,017.60/8,384.50
  6. Step 6: Final answer
    x = 3,692.29

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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.