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Finding the Fourth Proportional to 11,464, 17,196 and 3,673.02

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Solution

The fourth proportional to 11,464, 17,196 and 3,673.02 is: 5,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 17,196 = 3,673.02 : x
  2. Step 2: Convert to fraction form
    11,464/17,196 = 3,673.02/x
  3. Step 3: Cross multiply
    11,464x = 17,196 × 3,673.02
  4. Step 4: Simplify right side
    11,464x = 63,161,251.92
  5. Step 5: Solve for x
    x = 63,161,251.92/11,464
  6. Step 6: Final answer
    x = 5,509.53

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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.