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Finding the Fourth Proportional to 11,086.25, 16,632.25 and 5,539.37

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Solution

The fourth proportional to 11,086.25, 16,632.25 and 5,539.37 is: 8,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.25 : 16,632.25 = 5,539.37 : x
  2. Step 2: Convert to fraction form
    11,086.25/16,632.25 = 5,539.37/x
  3. Step 3: Cross multiply
    11,086.25x = 16,632.25 × 5,539.37
  4. Step 4: Simplify right side
    11,086.25x = 92,132,089.67
  5. Step 5: Solve for x
    x = 92,132,089.67/11,086.25
  6. Step 6: Final answer
    x = 8,310.49

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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.