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Finding the Fourth Proportional to 11,711.50, 17,539.64 and 10,164.12

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Solution

The fourth proportional to 11,711.50, 17,539.64 and 10,164.12 is: 15,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.50 : 17,539.64 = 10,164.12 : x
  2. Step 2: Convert to fraction form
    11,711.50/17,539.64 = 10,164.12/x
  3. Step 3: Cross multiply
    11,711.50x = 17,539.64 × 10,164.12
  4. Step 4: Simplify right side
    11,711.50x = 178,275,005.72
  5. Step 5: Solve for x
    x = 178,275,005.72/11,711.50
  6. Step 6: Final answer
    x = 15,222.22

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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.