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Finding the Fourth Proportional to 10,694.70, 16,051.86 and 5,769.18

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Solution

The fourth proportional to 10,694.70, 16,051.86 and 5,769.18 is: 8,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 16,051.86 = 5,769.18 : x
  2. Step 2: Convert to fraction form
    10,694.70/16,051.86 = 5,769.18/x
  3. Step 3: Cross multiply
    10,694.70x = 16,051.86 × 5,769.18
  4. Step 4: Simplify right side
    10,694.70x = 92,606,069.67
  5. Step 5: Solve for x
    x = 92,606,069.67/10,694.70
  6. Step 6: Final answer
    x = 8,659.06

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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.