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Finding the Fourth Proportional to 10,705.14, 16,057.89 and 2,914.14

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Solution

The fourth proportional to 10,705.14, 16,057.89 and 2,914.14 is: 4,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.14 : 16,057.89 = 2,914.14 : x
  2. Step 2: Convert to fraction form
    10,705.14/16,057.89 = 2,914.14/x
  3. Step 3: Cross multiply
    10,705.14x = 16,057.89 × 2,914.14
  4. Step 4: Simplify right side
    10,705.14x = 46,794,939.56
  5. Step 5: Solve for x
    x = 46,794,939.56/10,705.14
  6. Step 6: Final answer
    x = 4,371.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.