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Finding the Fourth Proportional to 11,633.82, 16,046.54 and 7,653.66

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Solution

The fourth proportional to 11,633.82, 16,046.54 and 7,653.66 is: 10,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.82 : 16,046.54 = 7,653.66 : x
  2. Step 2: Convert to fraction form
    11,633.82/16,046.54 = 7,653.66/x
  3. Step 3: Cross multiply
    11,633.82x = 16,046.54 × 7,653.66
  4. Step 4: Simplify right side
    11,633.82x = 122,814,761.34
  5. Step 5: Solve for x
    x = 122,814,761.34/11,633.82
  6. Step 6: Final answer
    x = 10,556.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.