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Finding the Fourth Proportional to 11,482.67, 17,224.00 and 3,691.48

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Solution

The fourth proportional to 11,482.67, 17,224.00 and 3,691.48 is: 5,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.67 : 17,224.00 = 3,691.48 : x
  2. Step 2: Convert to fraction form
    11,482.67/17,224.00 = 3,691.48/x
  3. Step 3: Cross multiply
    11,482.67x = 17,224.00 × 3,691.48
  4. Step 4: Simplify right side
    11,482.67x = 63,582,025.38
  5. Step 5: Solve for x
    x = 63,582,025.38/11,482.67
  6. Step 6: Final answer
    x = 5,537.22

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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.