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Finding the Fourth Proportional to 8,142.70, 12,210.40 and 3,209.80

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Solution

The fourth proportional to 8,142.70, 12,210.40 and 3,209.80 is: 4,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.70 : 12,210.40 = 3,209.80 : x
  2. Step 2: Convert to fraction form
    8,142.70/12,210.40 = 3,209.80/x
  3. Step 3: Cross multiply
    8,142.70x = 12,210.40 × 3,209.80
  4. Step 4: Simplify right side
    8,142.70x = 39,192,941.92
  5. Step 5: Solve for x
    x = 39,192,941.92/8,142.70
  6. Step 6: Final answer
    x = 4,813.26

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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.