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Finding the Fourth Proportional to 7,781.80, 11,673.44 and 3,100.68

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Solution

The fourth proportional to 7,781.80, 11,673.44 and 3,100.68 is: 4,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.80 : 11,673.44 = 3,100.68 : x
  2. Step 2: Convert to fraction form
    7,781.80/11,673.44 = 3,100.68/x
  3. Step 3: Cross multiply
    7,781.80x = 11,673.44 × 3,100.68
  4. Step 4: Simplify right side
    7,781.80x = 36,195,601.94
  5. Step 5: Solve for x
    x = 36,195,601.94/7,781.80
  6. Step 6: Final answer
    x = 4,651.31

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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.