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Finding the Fourth Proportional to 8,630.40, 12,946.24 and 3,084.80

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Solution

The fourth proportional to 8,630.40, 12,946.24 and 3,084.80 is: 4,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.40 : 12,946.24 = 3,084.80 : x
  2. Step 2: Convert to fraction form
    8,630.40/12,946.24 = 3,084.80/x
  3. Step 3: Cross multiply
    8,630.40x = 12,946.24 × 3,084.80
  4. Step 4: Simplify right side
    8,630.40x = 39,936,561.15
  5. Step 5: Solve for x
    x = 39,936,561.15/8,630.40
  6. Step 6: Final answer
    x = 4,627.43

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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.