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Finding the Fourth Proportional to 11,779.21, 16,238.49 and 8,420.79

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Solution

The fourth proportional to 11,779.21, 16,238.49 and 8,420.79 is: 11,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.21 : 16,238.49 = 8,420.79 : x
  2. Step 2: Convert to fraction form
    11,779.21/16,238.49 = 8,420.79/x
  3. Step 3: Cross multiply
    11,779.21x = 16,238.49 × 8,420.79
  4. Step 4: Simplify right side
    11,779.21x = 136,740,990.89
  5. Step 5: Solve for x
    x = 136,740,990.89/11,779.21
  6. Step 6: Final answer
    x = 11,608.68

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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.