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Finding the Fourth Proportional to 7,634.86, 11,448.43 and 2,703.80

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Solution

The fourth proportional to 7,634.86, 11,448.43 and 2,703.80 is: 4,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.86 : 11,448.43 = 2,703.80 : x
  2. Step 2: Convert to fraction form
    7,634.86/11,448.43 = 2,703.80/x
  3. Step 3: Cross multiply
    7,634.86x = 11,448.43 × 2,703.80
  4. Step 4: Simplify right side
    7,634.86x = 30,954,265.03
  5. Step 5: Solve for x
    x = 30,954,265.03/7,634.86
  6. Step 6: Final answer
    x = 4,054.33

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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.