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Finding the Fourth Proportional to 11,367, 17,053.25 and 3,575.81

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Solution

The fourth proportional to 11,367, 17,053.25 and 3,575.81 is: 5,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367 : 17,053.25 = 3,575.81 : x
  2. Step 2: Convert to fraction form
    11,367/17,053.25 = 3,575.81/x
  3. Step 3: Cross multiply
    11,367x = 17,053.25 × 3,575.81
  4. Step 4: Simplify right side
    11,367x = 60,979,078.74
  5. Step 5: Solve for x
    x = 60,979,078.74/11,367
  6. Step 6: Final answer
    x = 5,364.57

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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.