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Finding the Fourth Proportional to 11,176.75, 16,766.88 and 3,779.47

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Solution

The fourth proportional to 11,176.75, 16,766.88 and 3,779.47 is: 5,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.75 : 16,766.88 = 3,779.47 : x
  2. Step 2: Convert to fraction form
    11,176.75/16,766.88 = 3,779.47/x
  3. Step 3: Cross multiply
    11,176.75x = 16,766.88 × 3,779.47
  4. Step 4: Simplify right side
    11,176.75x = 63,369,919.95
  5. Step 5: Solve for x
    x = 63,369,919.95/11,176.75
  6. Step 6: Final answer
    x = 5,669.80

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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.