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Finding the Fourth Proportional to 8,420.25, 12,630.38 and 3,226.26

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Solution

The fourth proportional to 8,420.25, 12,630.38 and 3,226.26 is: 4,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.25 : 12,630.38 = 3,226.26 : x
  2. Step 2: Convert to fraction form
    8,420.25/12,630.38 = 3,226.26/x
  3. Step 3: Cross multiply
    8,420.25x = 12,630.38 × 3,226.26
  4. Step 4: Simplify right side
    8,420.25x = 40,748,889.78
  5. Step 5: Solve for x
    x = 40,748,889.78/8,420.25
  6. Step 6: Final answer
    x = 4,839.39

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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.