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Finding the Fourth Proportional to 11,779.72, 16,255.68 and 6,474.53

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Solution

The fourth proportional to 11,779.72, 16,255.68 and 6,474.53 is: 8,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.72 : 16,255.68 = 6,474.53 : x
  2. Step 2: Convert to fraction form
    11,779.72/16,255.68 = 6,474.53/x
  3. Step 3: Cross multiply
    11,779.72x = 16,255.68 × 6,474.53
  4. Step 4: Simplify right side
    11,779.72x = 105,247,887.83
  5. Step 5: Solve for x
    x = 105,247,887.83/11,779.72
  6. Step 6: Final answer
    x = 8,934.67

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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.