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Finding the Fourth Proportional to 12,052.12, 16,631.28 and 6,745.96

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Solution

The fourth proportional to 12,052.12, 16,631.28 and 6,745.96 is: 9,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.12 : 16,631.28 = 6,745.96 : x
  2. Step 2: Convert to fraction form
    12,052.12/16,631.28 = 6,745.96/x
  3. Step 3: Cross multiply
    12,052.12x = 16,631.28 × 6,745.96
  4. Step 4: Simplify right side
    12,052.12x = 112,193,949.63
  5. Step 5: Solve for x
    x = 112,193,949.63/12,052.12
  6. Step 6: Final answer
    x = 9,309.06

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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.