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Finding the Fourth Proportional to 11,761.45, 17,636.51 and 6,832.50

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Solution

The fourth proportional to 11,761.45, 17,636.51 and 6,832.50 is: 10,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.45 : 17,636.51 = 6,832.50 : x
  2. Step 2: Convert to fraction form
    11,761.45/17,636.51 = 6,832.50/x
  3. Step 3: Cross multiply
    11,761.45x = 17,636.51 × 6,832.50
  4. Step 4: Simplify right side
    11,761.45x = 120,501,420.41
  5. Step 5: Solve for x
    x = 120,501,420.41/11,761.45
  6. Step 6: Final answer
    x = 10,245.46

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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.