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Finding the Fourth Proportional to 10,942.28, 16,388.94 and 5,090.12

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Solution

The fourth proportional to 10,942.28, 16,388.94 and 5,090.12 is: 7,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.28 : 16,388.94 = 5,090.12 : x
  2. Step 2: Convert to fraction form
    10,942.28/16,388.94 = 5,090.12/x
  3. Step 3: Cross multiply
    10,942.28x = 16,388.94 × 5,090.12
  4. Step 4: Simplify right side
    10,942.28x = 83,421,671.27
  5. Step 5: Solve for x
    x = 83,421,671.27/10,942.28
  6. Step 6: Final answer
    x = 7,623.79

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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.