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Finding the Fourth Proportional to 11,812.86, 17,713.08 and 5,236.20

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Solution

The fourth proportional to 11,812.86, 17,713.08 and 5,236.20 is: 7,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.86 : 17,713.08 = 5,236.20 : x
  2. Step 2: Convert to fraction form
    11,812.86/17,713.08 = 5,236.20/x
  3. Step 3: Cross multiply
    11,812.86x = 17,713.08 × 5,236.20
  4. Step 4: Simplify right side
    11,812.86x = 92,749,229.50
  5. Step 5: Solve for x
    x = 92,749,229.50/11,812.86
  6. Step 6: Final answer
    x = 7,851.55

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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.