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Finding the Fourth Proportional to 11,846.67, 17,779.19 and 4,457.85

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Solution

The fourth proportional to 11,846.67, 17,779.19 and 4,457.85 is: 6,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.67 : 17,779.19 = 4,457.85 : x
  2. Step 2: Convert to fraction form
    11,846.67/17,779.19 = 4,457.85/x
  3. Step 3: Cross multiply
    11,846.67x = 17,779.19 × 4,457.85
  4. Step 4: Simplify right side
    11,846.67x = 79,256,939.85
  5. Step 5: Solve for x
    x = 79,256,939.85/11,846.67
  6. Step 6: Final answer
    x = 6,690.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.