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Finding the Fourth Proportional to 8,021.52, 12,031.29 and 2,474.82

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Solution

The fourth proportional to 8,021.52, 12,031.29 and 2,474.82 is: 3,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.52 : 12,031.29 = 2,474.82 : x
  2. Step 2: Convert to fraction form
    8,021.52/12,031.29 = 2,474.82/x
  3. Step 3: Cross multiply
    8,021.52x = 12,031.29 × 2,474.82
  4. Step 4: Simplify right side
    8,021.52x = 29,775,277.12
  5. Step 5: Solve for x
    x = 29,775,277.12/8,021.52
  6. Step 6: Final answer
    x = 3,711.92

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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.