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Finding the Fourth Proportional to 11,710.50, 17,538.13 and 10,163.13

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Solution

The fourth proportional to 11,710.50, 17,538.13 and 10,163.13 is: 15,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.50 : 17,538.13 = 10,163.13 : x
  2. Step 2: Convert to fraction form
    11,710.50/17,538.13 = 10,163.13/x
  3. Step 3: Cross multiply
    11,710.50x = 17,538.13 × 10,163.13
  4. Step 4: Simplify right side
    11,710.50x = 178,242,295.15
  5. Step 5: Solve for x
    x = 178,242,295.15/11,710.50
  6. Step 6: Final answer
    x = 15,220.72

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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.