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Finding the Fourth Proportional to 11,021.94, 15,199.83 and 7,238.43

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Solution

The fourth proportional to 11,021.94, 15,199.83 and 7,238.43 is: 9,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.94 : 15,199.83 = 7,238.43 : x
  2. Step 2: Convert to fraction form
    11,021.94/15,199.83 = 7,238.43/x
  3. Step 3: Cross multiply
    11,021.94x = 15,199.83 × 7,238.43
  4. Step 4: Simplify right side
    11,021.94x = 110,022,905.47
  5. Step 5: Solve for x
    x = 110,022,905.47/11,021.94
  6. Step 6: Final answer
    x = 9,982.17

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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.