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Finding the Fourth Proportional to 11,344.94, 17,019.23 and 3,951.50

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Solution

The fourth proportional to 11,344.94, 17,019.23 and 3,951.50 is: 5,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.94 : 17,019.23 = 3,951.50 : x
  2. Step 2: Convert to fraction form
    11,344.94/17,019.23 = 3,951.50/x
  3. Step 3: Cross multiply
    11,344.94x = 17,019.23 × 3,951.50
  4. Step 4: Simplify right side
    11,344.94x = 67,251,539.77
  5. Step 5: Solve for x
    x = 67,251,539.77/11,344.94
  6. Step 6: Final answer
    x = 5,927.89

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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.