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Finding the Fourth Proportional to 10,694.10, 14,757.76 and 5,914.26

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Solution

The fourth proportional to 10,694.10, 14,757.76 and 5,914.26 is: 8,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.10 : 14,757.76 = 5,914.26 : x
  2. Step 2: Convert to fraction form
    10,694.10/14,757.76 = 5,914.26/x
  3. Step 3: Cross multiply
    10,694.10x = 14,757.76 × 5,914.26
  4. Step 4: Simplify right side
    10,694.10x = 87,281,126.30
  5. Step 5: Solve for x
    x = 87,281,126.30/10,694.10
  6. Step 6: Final answer
    x = 8,161.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.