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Finding the Fourth Proportional to 10,705.25, 16,059.41 and 3,310.28

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Solution

The fourth proportional to 10,705.25, 16,059.41 and 3,310.28 is: 4,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.25 : 16,059.41 = 3,310.28 : x
  2. Step 2: Convert to fraction form
    10,705.25/16,059.41 = 3,310.28/x
  3. Step 3: Cross multiply
    10,705.25x = 16,059.41 × 3,310.28
  4. Step 4: Simplify right side
    10,705.25x = 53,161,143.73
  5. Step 5: Solve for x
    x = 53,161,143.73/10,705.25
  6. Step 6: Final answer
    x = 4,965.89

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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.