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Finding the Fourth Proportional to 7,822.34, 11,731.03 and 2,556.16

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Solution

The fourth proportional to 7,822.34, 11,731.03 and 2,556.16 is: 3,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.34 : 11,731.03 = 2,556.16 : x
  2. Step 2: Convert to fraction form
    7,822.34/11,731.03 = 2,556.16/x
  3. Step 3: Cross multiply
    7,822.34x = 11,731.03 × 2,556.16
  4. Step 4: Simplify right side
    7,822.34x = 29,986,353.93
  5. Step 5: Solve for x
    x = 29,986,353.93/7,822.34
  6. Step 6: Final answer
    x = 3,833.43

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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.