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Finding the Fourth Proportional to 11,814.88, 17,724.84 and 5,894.95

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Solution

The fourth proportional to 11,814.88, 17,724.84 and 5,894.95 is: 8,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.88 : 17,724.84 = 5,894.95 : x
  2. Step 2: Convert to fraction form
    11,814.88/17,724.84 = 5,894.95/x
  3. Step 3: Cross multiply
    11,814.88x = 17,724.84 × 5,894.95
  4. Step 4: Simplify right side
    11,814.88x = 104,487,045.56
  5. Step 5: Solve for x
    x = 104,487,045.56/11,814.88
  6. Step 6: Final answer
    x = 8,843.68

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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.