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Finding the Fourth Proportional to 11,584.88, 17,363.88 and 5,331.77

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Solution

The fourth proportional to 11,584.88, 17,363.88 and 5,331.77 is: 7,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.88 : 17,363.88 = 5,331.77 : x
  2. Step 2: Convert to fraction form
    11,584.88/17,363.88 = 5,331.77/x
  3. Step 3: Cross multiply
    11,584.88x = 17,363.88 × 5,331.77
  4. Step 4: Simplify right side
    11,584.88x = 92,580,214.47
  5. Step 5: Solve for x
    x = 92,580,214.47/11,584.88
  6. Step 6: Final answer
    x = 7,991.47

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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.