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Finding the Fourth Proportional to 11,594.42, 17,388.03 and 3,801.50

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Solution

The fourth proportional to 11,594.42, 17,388.03 and 3,801.50 is: 5,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.42 : 17,388.03 = 3,801.50 : x
  2. Step 2: Convert to fraction form
    11,594.42/17,388.03 = 3,801.50/x
  3. Step 3: Cross multiply
    11,594.42x = 17,388.03 × 3,801.50
  4. Step 4: Simplify right side
    11,594.42x = 66,100,596.05
  5. Step 5: Solve for x
    x = 66,100,596.05/11,594.42
  6. Step 6: Final answer
    x = 5,701.07

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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.