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Finding the Fourth Proportional to 11,952, 17,928 and 5,027.04

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Solution

The fourth proportional to 11,952, 17,928 and 5,027.04 is: 7,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 17,928 = 5,027.04 : x
  2. Step 2: Convert to fraction form
    11,952/17,928 = 5,027.04/x
  3. Step 3: Cross multiply
    11,952x = 17,928 × 5,027.04
  4. Step 4: Simplify right side
    11,952x = 90,124,773.12
  5. Step 5: Solve for x
    x = 90,124,773.12/11,952
  6. Step 6: Final answer
    x = 7,540.56

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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.