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Finding the Fourth Proportional to 11,022, 15,198.12 and 7,043.28

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Solution

The fourth proportional to 11,022, 15,198.12 and 7,043.28 is: 9,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022 : 15,198.12 = 7,043.28 : x
  2. Step 2: Convert to fraction form
    11,022/15,198.12 = 7,043.28/x
  3. Step 3: Cross multiply
    11,022x = 15,198.12 × 7,043.28
  4. Step 4: Simplify right side
    11,022x = 107,044,614.63
  5. Step 5: Solve for x
    x = 107,044,614.63/11,022
  6. Step 6: Final answer
    x = 9,711.90

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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.