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Finding the Fourth Proportional to 10,805.40, 16,206.73 and 3,410.61

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Solution

The fourth proportional to 10,805.40, 16,206.73 and 3,410.61 is: 5,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.40 : 16,206.73 = 3,410.61 : x
  2. Step 2: Convert to fraction form
    10,805.40/16,206.73 = 3,410.61/x
  3. Step 3: Cross multiply
    10,805.40x = 16,206.73 × 3,410.61
  4. Step 4: Simplify right side
    10,805.40x = 55,274,785.29
  5. Step 5: Solve for x
    x = 55,274,785.29/10,805.40
  6. Step 6: Final answer
    x = 5,115.48

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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.