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Finding the Fourth Proportional to 12,164.22, 16,778.34 and 7,450.86

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Solution

The fourth proportional to 12,164.22, 16,778.34 and 7,450.86 is: 10,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.22 : 16,778.34 = 7,450.86 : x
  2. Step 2: Convert to fraction form
    12,164.22/16,778.34 = 7,450.86/x
  3. Step 3: Cross multiply
    12,164.22x = 16,778.34 × 7,450.86
  4. Step 4: Simplify right side
    12,164.22x = 125,013,062.37
  5. Step 5: Solve for x
    x = 125,013,062.37/12,164.22
  6. Step 6: Final answer
    x = 10,277.11

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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.