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Finding the Fourth Proportional to 7,683.86, 11,525.74 and 3,304.39

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Solution

The fourth proportional to 7,683.86, 11,525.74 and 3,304.39 is: 4,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.86 : 11,525.74 = 3,304.39 : x
  2. Step 2: Convert to fraction form
    7,683.86/11,525.74 = 3,304.39/x
  3. Step 3: Cross multiply
    7,683.86x = 11,525.74 × 3,304.39
  4. Step 4: Simplify right side
    7,683.86x = 38,085,540.00
  5. Step 5: Solve for x
    x = 38,085,540.00/7,683.86
  6. Step 6: Final answer
    x = 4,956.56

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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.