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Finding the Fourth Proportional to 10,965.66, 16,448.49 and 3,946.61

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Solution

The fourth proportional to 10,965.66, 16,448.49 and 3,946.61 is: 5,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.66 : 16,448.49 = 3,946.61 : x
  2. Step 2: Convert to fraction form
    10,965.66/16,448.49 = 3,946.61/x
  3. Step 3: Cross multiply
    10,965.66x = 16,448.49 × 3,946.61
  4. Step 4: Simplify right side
    10,965.66x = 64,915,692.88
  5. Step 5: Solve for x
    x = 64,915,692.88/10,965.66
  6. Step 6: Final answer
    x = 5,919.91

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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.