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Finding the Fourth Proportional to 7,675.75, 11,516.46 and 3,782.89

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Solution

The fourth proportional to 7,675.75, 11,516.46 and 3,782.89 is: 5,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.75 : 11,516.46 = 3,782.89 : x
  2. Step 2: Convert to fraction form
    7,675.75/11,516.46 = 3,782.89/x
  3. Step 3: Cross multiply
    7,675.75x = 11,516.46 × 3,782.89
  4. Step 4: Simplify right side
    7,675.75x = 43,565,501.37
  5. Step 5: Solve for x
    x = 43,565,501.37/7,675.75
  6. Step 6: Final answer
    x = 5,675.73

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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.