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Finding the Fourth Proportional to 8,697.97, 13,049.10 and 4,021.23

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Solution

The fourth proportional to 8,697.97, 13,049.10 and 4,021.23 is: 6,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.97 : 13,049.10 = 4,021.23 : x
  2. Step 2: Convert to fraction form
    8,697.97/13,049.10 = 4,021.23/x
  3. Step 3: Cross multiply
    8,697.97x = 13,049.10 × 4,021.23
  4. Step 4: Simplify right side
    8,697.97x = 52,473,481.33
  5. Step 5: Solve for x
    x = 52,473,481.33/8,697.97
  6. Step 6: Final answer
    x = 6,032.84

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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.