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Finding the Fourth Proportional to 11,814.42, 17,716.06 and 4,312.78

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Solution

The fourth proportional to 11,814.42, 17,716.06 and 4,312.78 is: 6,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.42 : 17,716.06 = 4,312.78 : x
  2. Step 2: Convert to fraction form
    11,814.42/17,716.06 = 4,312.78/x
  3. Step 3: Cross multiply
    11,814.42x = 17,716.06 × 4,312.78
  4. Step 4: Simplify right side
    11,814.42x = 76,405,469.25
  5. Step 5: Solve for x
    x = 76,405,469.25/11,814.42
  6. Step 6: Final answer
    x = 6,467.14

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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.