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Finding the Fourth Proportional to 10,138.85, 13,991.61 and 5,662.75

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Solution

The fourth proportional to 10,138.85, 13,991.61 and 5,662.75 is: 7,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.85 : 13,991.61 = 5,662.75 : x
  2. Step 2: Convert to fraction form
    10,138.85/13,991.61 = 5,662.75/x
  3. Step 3: Cross multiply
    10,138.85x = 13,991.61 × 5,662.75
  4. Step 4: Simplify right side
    10,138.85x = 79,230,989.53
  5. Step 5: Solve for x
    x = 79,230,989.53/10,138.85
  6. Step 6: Final answer
    x = 7,814.59

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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.