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Finding the Fourth Proportional to 11,679.80, 16,121.54 and 6,646.82

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Solution

The fourth proportional to 11,679.80, 16,121.54 and 6,646.82 is: 9,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.80 : 16,121.54 = 6,646.82 : x
  2. Step 2: Convert to fraction form
    11,679.80/16,121.54 = 6,646.82/x
  3. Step 3: Cross multiply
    11,679.80x = 16,121.54 × 6,646.82
  4. Step 4: Simplify right side
    11,679.80x = 107,156,910.51
  5. Step 5: Solve for x
    x = 107,156,910.51/11,679.80
  6. Step 6: Final answer
    x = 9,174.55

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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.