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Finding the Fourth Proportional to 11,297.52, 16,939.41 and 5,056.38

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Solution

The fourth proportional to 11,297.52, 16,939.41 and 5,056.38 is: 7,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.52 : 16,939.41 = 5,056.38 : x
  2. Step 2: Convert to fraction form
    11,297.52/16,939.41 = 5,056.38/x
  3. Step 3: Cross multiply
    11,297.52x = 16,939.41 × 5,056.38
  4. Step 4: Simplify right side
    11,297.52x = 85,652,093.94
  5. Step 5: Solve for x
    x = 85,652,093.94/11,297.52
  6. Step 6: Final answer
    x = 7,581.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.