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Finding the Fourth Proportional to 11,549, 17,326.44 and 3,229.02

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Solution

The fourth proportional to 11,549, 17,326.44 and 3,229.02 is: 4,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549 : 17,326.44 = 3,229.02 : x
  2. Step 2: Convert to fraction form
    11,549/17,326.44 = 3,229.02/x
  3. Step 3: Cross multiply
    11,549x = 17,326.44 × 3,229.02
  4. Step 4: Simplify right side
    11,549x = 55,947,421.29
  5. Step 5: Solve for x
    x = 55,947,421.29/11,549
  6. Step 6: Final answer
    x = 4,844.35

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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.