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Finding the Fourth Proportional to 8,143.62, 12,206.90 and 3,763.96

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Solution

The fourth proportional to 8,143.62, 12,206.90 and 3,763.96 is: 5,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.62 : 12,206.90 = 3,763.96 : x
  2. Step 2: Convert to fraction form
    8,143.62/12,206.90 = 3,763.96/x
  3. Step 3: Cross multiply
    8,143.62x = 12,206.90 × 3,763.96
  4. Step 4: Simplify right side
    8,143.62x = 45,946,283.32
  5. Step 5: Solve for x
    x = 45,946,283.32/8,143.62
  6. Step 6: Final answer
    x = 5,642.00

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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.