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Finding the Fourth Proportional to 11,814.72, 17,725.84 and 3,494.78

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Solution

The fourth proportional to 11,814.72, 17,725.84 and 3,494.78 is: 5,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.72 : 17,725.84 = 3,494.78 : x
  2. Step 2: Convert to fraction form
    11,814.72/17,725.84 = 3,494.78/x
  3. Step 3: Cross multiply
    11,814.72x = 17,725.84 × 3,494.78
  4. Step 4: Simplify right side
    11,814.72x = 61,947,911.12
  5. Step 5: Solve for x
    x = 61,947,911.12/11,814.72
  6. Step 6: Final answer
    x = 5,243.28

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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.