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Finding the Fourth Proportional to 8,241.26, 12,364.64 and 5,478.80

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Solution

The fourth proportional to 8,241.26, 12,364.64 and 5,478.80 is: 8,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.26 : 12,364.64 = 5,478.80 : x
  2. Step 2: Convert to fraction form
    8,241.26/12,364.64 = 5,478.80/x
  3. Step 3: Cross multiply
    8,241.26x = 12,364.64 × 5,478.80
  4. Step 4: Simplify right side
    8,241.26x = 67,743,389.63
  5. Step 5: Solve for x
    x = 67,743,389.63/8,241.26
  6. Step 6: Final answer
    x = 8,220.03

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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.