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Finding the Fourth Proportional to 8,416.31, 12,615.35 and 3,482.80

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Solution

The fourth proportional to 8,416.31, 12,615.35 and 3,482.80 is: 5,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.31 : 12,615.35 = 3,482.80 : x
  2. Step 2: Convert to fraction form
    8,416.31/12,615.35 = 3,482.80/x
  3. Step 3: Cross multiply
    8,416.31x = 12,615.35 × 3,482.80
  4. Step 4: Simplify right side
    8,416.31x = 43,936,692.03
  5. Step 5: Solve for x
    x = 43,936,692.03/8,416.31
  6. Step 6: Final answer
    x = 5,220.43

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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.