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Finding the Fourth Proportional to 11,289, 16,936.20 and 7,155.56

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Solution

The fourth proportional to 11,289, 16,936.20 and 7,155.56 is: 10,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 16,936.20 = 7,155.56 : x
  2. Step 2: Convert to fraction form
    11,289/16,936.20 = 7,155.56/x
  3. Step 3: Cross multiply
    11,289x = 16,936.20 × 7,155.56
  4. Step 4: Simplify right side
    11,289x = 121,187,995.27
  5. Step 5: Solve for x
    x = 121,187,995.27/11,289
  6. Step 6: Final answer
    x = 10,735.05

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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.