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Finding the Fourth Proportional to 11,779.62, 16,256.80 and 6,745.42

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Solution

The fourth proportional to 11,779.62, 16,256.80 and 6,745.42 is: 9,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.62 : 16,256.80 = 6,745.42 : x
  2. Step 2: Convert to fraction form
    11,779.62/16,256.80 = 6,745.42/x
  3. Step 3: Cross multiply
    11,779.62x = 16,256.80 × 6,745.42
  4. Step 4: Simplify right side
    11,779.62x = 109,658,943.86
  5. Step 5: Solve for x
    x = 109,658,943.86/11,779.62
  6. Step 6: Final answer
    x = 9,309.21

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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.