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Finding the Fourth Proportional to 11,304.60, 16,945.20 and 5,067.60

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Solution

The fourth proportional to 11,304.60, 16,945.20 and 5,067.60 is: 7,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.60 : 16,945.20 = 5,067.60 : x
  2. Step 2: Convert to fraction form
    11,304.60/16,945.20 = 5,067.60/x
  3. Step 3: Cross multiply
    11,304.60x = 16,945.20 × 5,067.60
  4. Step 4: Simplify right side
    11,304.60x = 85,871,495.52
  5. Step 5: Solve for x
    x = 85,871,495.52/11,304.60
  6. Step 6: Final answer
    x = 7,596.16

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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.