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Finding the Fourth Proportional to 7,682.67, 11,512.22 and 4,556.52

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Solution

The fourth proportional to 7,682.67, 11,512.22 and 4,556.52 is: 6,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.67 : 11,512.22 = 4,556.52 : x
  2. Step 2: Convert to fraction form
    7,682.67/11,512.22 = 4,556.52/x
  3. Step 3: Cross multiply
    7,682.67x = 11,512.22 × 4,556.52
  4. Step 4: Simplify right side
    7,682.67x = 52,455,637.89
  5. Step 5: Solve for x
    x = 52,455,637.89/7,682.67
  6. Step 6: Final answer
    x = 6,827.79

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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.