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Finding the Fourth Proportional to 11,211.80, 16,833.90 and 8,457.80

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Solution

The fourth proportional to 11,211.80, 16,833.90 and 8,457.80 is: 12,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.80 : 16,833.90 = 8,457.80 : x
  2. Step 2: Convert to fraction form
    11,211.80/16,833.90 = 8,457.80/x
  3. Step 3: Cross multiply
    11,211.80x = 16,833.90 × 8,457.80
  4. Step 4: Simplify right side
    11,211.80x = 142,377,759.42
  5. Step 5: Solve for x
    x = 142,377,759.42/11,211.80
  6. Step 6: Final answer
    x = 12,698.92

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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.