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Finding the Fourth Proportional to 11,779.57, 16,255.74 and 6,474.27

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Solution

The fourth proportional to 11,779.57, 16,255.74 and 6,474.27 is: 8,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.57 : 16,255.74 = 6,474.27 : x
  2. Step 2: Convert to fraction form
    11,779.57/16,255.74 = 6,474.27/x
  3. Step 3: Cross multiply
    11,779.57x = 16,255.74 × 6,474.27
  4. Step 4: Simplify right side
    11,779.57x = 105,244,049.81
  5. Step 5: Solve for x
    x = 105,244,049.81/11,779.57
  6. Step 6: Final answer
    x = 8,934.46

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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.