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Finding the Fourth Proportional to 11,710.94, 16,153.70 and 8,172.86

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Solution

The fourth proportional to 11,710.94, 16,153.70 and 8,172.86 is: 11,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.94 : 16,153.70 = 8,172.86 : x
  2. Step 2: Convert to fraction form
    11,710.94/16,153.70 = 8,172.86/x
  3. Step 3: Cross multiply
    11,710.94x = 16,153.70 × 8,172.86
  4. Step 4: Simplify right side
    11,710.94x = 132,021,928.58
  5. Step 5: Solve for x
    x = 132,021,928.58/11,710.94
  6. Step 6: Final answer
    x = 11,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.