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Finding the Fourth Proportional to 12,274.52, 16,934.48 and 8,028.04

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Solution

The fourth proportional to 12,274.52, 16,934.48 and 8,028.04 is: 11,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.52 : 16,934.48 = 8,028.04 : x
  2. Step 2: Convert to fraction form
    12,274.52/16,934.48 = 8,028.04/x
  3. Step 3: Cross multiply
    12,274.52x = 16,934.48 × 8,028.04
  4. Step 4: Simplify right side
    12,274.52x = 135,950,682.82
  5. Step 5: Solve for x
    x = 135,950,682.82/12,274.52
  6. Step 6: Final answer
    x = 11,075.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.