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Finding the Fourth Proportional to 8,563.80, 12,845.70 and 3,946.80

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Solution

The fourth proportional to 8,563.80, 12,845.70 and 3,946.80 is: 5,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.80 : 12,845.70 = 3,946.80 : x
  2. Step 2: Convert to fraction form
    8,563.80/12,845.70 = 3,946.80/x
  3. Step 3: Cross multiply
    8,563.80x = 12,845.70 × 3,946.80
  4. Step 4: Simplify right side
    8,563.80x = 50,699,408.76
  5. Step 5: Solve for x
    x = 50,699,408.76/8,563.80
  6. Step 6: Final answer
    x = 5,920.20

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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.