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Finding the Fourth Proportional to 11,761.48, 17,633.82 and 5,518

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Solution

The fourth proportional to 11,761.48, 17,633.82 and 5,518 is: 8,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.48 : 17,633.82 = 5,518 : x
  2. Step 2: Convert to fraction form
    11,761.48/17,633.82 = 5,518/x
  3. Step 3: Cross multiply
    11,761.48x = 17,633.82 × 5,518
  4. Step 4: Simplify right side
    11,761.48x = 97,303,418.76
  5. Step 5: Solve for x
    x = 97,303,418.76/11,761.48
  6. Step 6: Final answer
    x = 8,273.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.