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Finding the Fourth Proportional to 11,191.33, 16,750.47 and 8,228.98

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Solution

The fourth proportional to 11,191.33, 16,750.47 and 8,228.98 is: 12,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.33 : 16,750.47 = 8,228.98 : x
  2. Step 2: Convert to fraction form
    11,191.33/16,750.47 = 8,228.98/x
  3. Step 3: Cross multiply
    11,191.33x = 16,750.47 × 8,228.98
  4. Step 4: Simplify right side
    11,191.33x = 137,839,282.62
  5. Step 5: Solve for x
    x = 137,839,282.62/11,191.33
  6. Step 6: Final answer
    x = 12,316.61

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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.