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Finding the Fourth Proportional to 11,588, 17,381.84 and 2,822.92

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Solution

The fourth proportional to 11,588, 17,381.84 and 2,822.92 is: 4,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 17,381.84 = 2,822.92 : x
  2. Step 2: Convert to fraction form
    11,588/17,381.84 = 2,822.92/x
  3. Step 3: Cross multiply
    11,588x = 17,381.84 × 2,822.92
  4. Step 4: Simplify right side
    11,588x = 49,067,543.77
  5. Step 5: Solve for x
    x = 49,067,543.77/11,588
  6. Step 6: Final answer
    x = 4,234.34

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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.