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Finding the Fourth Proportional to 11,763.80, 17,626.80 and 6,209.90

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Solution

The fourth proportional to 11,763.80, 17,626.80 and 6,209.90 is: 9,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.80 : 17,626.80 = 6,209.90 : x
  2. Step 2: Convert to fraction form
    11,763.80/17,626.80 = 6,209.90/x
  3. Step 3: Cross multiply
    11,763.80x = 17,626.80 × 6,209.90
  4. Step 4: Simplify right side
    11,763.80x = 109,460,665.32
  5. Step 5: Solve for x
    x = 109,460,665.32/11,763.80
  6. Step 6: Final answer
    x = 9,304.87

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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.