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Finding the Fourth Proportional to 11,892.06, 17,829.21 and 7,213.08

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Solution

The fourth proportional to 11,892.06, 17,829.21 and 7,213.08 is: 10,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.06 : 17,829.21 = 7,213.08 : x
  2. Step 2: Convert to fraction form
    11,892.06/17,829.21 = 7,213.08/x
  3. Step 3: Cross multiply
    11,892.06x = 17,829.21 × 7,213.08
  4. Step 4: Simplify right side
    11,892.06x = 128,603,518.07
  5. Step 5: Solve for x
    x = 128,603,518.07/11,892.06
  6. Step 6: Final answer
    x = 10,814.23

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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.