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Finding the Fourth Proportional to 7,462.80, 11,198.12 and 3,305.75

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Solution

The fourth proportional to 7,462.80, 11,198.12 and 3,305.75 is: 4,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.80 : 11,198.12 = 3,305.75 : x
  2. Step 2: Convert to fraction form
    7,462.80/11,198.12 = 3,305.75/x
  3. Step 3: Cross multiply
    7,462.80x = 11,198.12 × 3,305.75
  4. Step 4: Simplify right side
    7,462.80x = 37,018,112.67
  5. Step 5: Solve for x
    x = 37,018,112.67/7,462.80
  6. Step 6: Final answer
    x = 4,960.35

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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.