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Finding the Fourth Proportional to 11,105.12, 16,659.30 and 3,314

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Solution

The fourth proportional to 11,105.12, 16,659.30 and 3,314 is: 4,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.12 : 16,659.30 = 3,314 : x
  2. Step 2: Convert to fraction form
    11,105.12/16,659.30 = 3,314/x
  3. Step 3: Cross multiply
    11,105.12x = 16,659.30 × 3,314
  4. Step 4: Simplify right side
    11,105.12x = 55,208,920.20
  5. Step 5: Solve for x
    x = 55,208,920.20/11,105.12
  6. Step 6: Final answer
    x = 4,971.48

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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.