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Finding the Fourth Proportional to 11,629.28, 17,419.28 and 7,225.20

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Solution

The fourth proportional to 11,629.28, 17,419.28 and 7,225.20 is: 10,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.28 : 17,419.28 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    11,629.28/17,419.28 = 7,225.20/x
  3. Step 3: Cross multiply
    11,629.28x = 17,419.28 × 7,225.20
  4. Step 4: Simplify right side
    11,629.28x = 125,857,781.86
  5. Step 5: Solve for x
    x = 125,857,781.86/11,629.28
  6. Step 6: Final answer
    x = 10,822.49

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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.