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Finding the Fourth Proportional to 11,727.58, 17,594.25 and 5,399.50

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Solution

The fourth proportional to 11,727.58, 17,594.25 and 5,399.50 is: 8,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.58 : 17,594.25 = 5,399.50 : x
  2. Step 2: Convert to fraction form
    11,727.58/17,594.25 = 5,399.50/x
  3. Step 3: Cross multiply
    11,727.58x = 17,594.25 × 5,399.50
  4. Step 4: Simplify right side
    11,727.58x = 95,000,152.88
  5. Step 5: Solve for x
    x = 95,000,152.88/11,727.58
  6. Step 6: Final answer
    x = 8,100.58

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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.