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Finding the Fourth Proportional to 11,952.02, 17,911.86 and 4,552.44

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Solution

The fourth proportional to 11,952.02, 17,911.86 and 4,552.44 is: 6,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.02 : 17,911.86 = 4,552.44 : x
  2. Step 2: Convert to fraction form
    11,952.02/17,911.86 = 4,552.44/x
  3. Step 3: Cross multiply
    11,952.02x = 17,911.86 × 4,552.44
  4. Step 4: Simplify right side
    11,952.02x = 81,542,667.94
  5. Step 5: Solve for x
    x = 81,542,667.94/11,952.02
  6. Step 6: Final answer
    x = 6,822.50

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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.