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Finding the Fourth Proportional to 11,836, 17,744.64 and 5,909.84

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Solution

The fourth proportional to 11,836, 17,744.64 and 5,909.84 is: 8,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836 : 17,744.64 = 5,909.84 : x
  2. Step 2: Convert to fraction form
    11,836/17,744.64 = 5,909.84/x
  3. Step 3: Cross multiply
    11,836x = 17,744.64 × 5,909.84
  4. Step 4: Simplify right side
    11,836x = 104,867,983.26
  5. Step 5: Solve for x
    x = 104,867,983.26/11,836
  6. Step 6: Final answer
    x = 8,860.09

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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.