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Finding the Fourth Proportional to 11,779.31, 16,256.36 and 6,745.12

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Solution

The fourth proportional to 11,779.31, 16,256.36 and 6,745.12 is: 9,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.31 : 16,256.36 = 6,745.12 : x
  2. Step 2: Convert to fraction form
    11,779.31/16,256.36 = 6,745.12/x
  3. Step 3: Cross multiply
    11,779.31x = 16,256.36 × 6,745.12
  4. Step 4: Simplify right side
    11,779.31x = 109,651,098.96
  5. Step 5: Solve for x
    x = 109,651,098.96/11,779.31
  6. Step 6: Final answer
    x = 9,308.79

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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.