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Finding the Fourth Proportional to 10,584.97, 15,893.08 and 5,914.15

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Solution

The fourth proportional to 10,584.97, 15,893.08 and 5,914.15 is: 8,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.97 : 15,893.08 = 5,914.15 : x
  2. Step 2: Convert to fraction form
    10,584.97/15,893.08 = 5,914.15/x
  3. Step 3: Cross multiply
    10,584.97x = 15,893.08 × 5,914.15
  4. Step 4: Simplify right side
    10,584.97x = 93,994,004.56
  5. Step 5: Solve for x
    x = 93,994,004.56/10,584.97
  6. Step 6: Final answer
    x = 8,879.95

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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.