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Finding the Fourth Proportional to 12,251.12, 16,906.04 and 6,945.83

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Solution

The fourth proportional to 12,251.12, 16,906.04 and 6,945.83 is: 9,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.12 : 16,906.04 = 6,945.83 : x
  2. Step 2: Convert to fraction form
    12,251.12/16,906.04 = 6,945.83/x
  3. Step 3: Cross multiply
    12,251.12x = 16,906.04 × 6,945.83
  4. Step 4: Simplify right side
    12,251.12x = 117,426,360.55
  5. Step 5: Solve for x
    x = 117,426,360.55/12,251.12
  6. Step 6: Final answer
    x = 9,584.95

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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.