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Finding the Fourth Proportional to 11,532.96, 17,295.52 and 3,739.84

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Solution

The fourth proportional to 11,532.96, 17,295.52 and 3,739.84 is: 5,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.96 : 17,295.52 = 3,739.84 : x
  2. Step 2: Convert to fraction form
    11,532.96/17,295.52 = 3,739.84/x
  3. Step 3: Cross multiply
    11,532.96x = 17,295.52 × 3,739.84
  4. Step 4: Simplify right side
    11,532.96x = 64,682,477.52
  5. Step 5: Solve for x
    x = 64,682,477.52/11,532.96
  6. Step 6: Final answer
    x = 5,608.49

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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.