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Finding the Fourth Proportional to 11,584.88, 17,377.30 and 3,264.88

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Solution

The fourth proportional to 11,584.88, 17,377.30 and 3,264.88 is: 4,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.88 : 17,377.30 = 3,264.88 : x
  2. Step 2: Convert to fraction form
    11,584.88/17,377.30 = 3,264.88/x
  3. Step 3: Cross multiply
    11,584.88x = 17,377.30 × 3,264.88
  4. Step 4: Simplify right side
    11,584.88x = 56,734,799.22
  5. Step 5: Solve for x
    x = 56,734,799.22/11,584.88
  6. Step 6: Final answer
    x = 4,897.31

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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.