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Finding the Fourth Proportional to 11,583, 17,382.26 and 4,287

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Solution

The fourth proportional to 11,583, 17,382.26 and 4,287 is: 6,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 17,382.26 = 4,287 : x
  2. Step 2: Convert to fraction form
    11,583/17,382.26 = 4,287/x
  3. Step 3: Cross multiply
    11,583x = 17,382.26 × 4,287
  4. Step 4: Simplify right side
    11,583x = 74,517,748.62
  5. Step 5: Solve for x
    x = 74,517,748.62/11,583
  6. Step 6: Final answer
    x = 6,433.37

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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.