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Finding the Fourth Proportional to 11,814.37, 17,715.54 and 3,914.04

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Solution

The fourth proportional to 11,814.37, 17,715.54 and 3,914.04 is: 5,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.37 : 17,715.54 = 3,914.04 : x
  2. Step 2: Convert to fraction form
    11,814.37/17,715.54 = 3,914.04/x
  3. Step 3: Cross multiply
    11,814.37x = 17,715.54 × 3,914.04
  4. Step 4: Simplify right side
    11,814.37x = 69,339,280.62
  5. Step 5: Solve for x
    x = 69,339,280.62/11,814.37
  6. Step 6: Final answer
    x = 5,869.06

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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.