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Finding the Fourth Proportional to 11,211.75, 16,820.24 and 6,284.79

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Solution

The fourth proportional to 11,211.75, 16,820.24 and 6,284.79 is: 9,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.75 : 16,820.24 = 6,284.79 : x
  2. Step 2: Convert to fraction form
    11,211.75/16,820.24 = 6,284.79/x
  3. Step 3: Cross multiply
    11,211.75x = 16,820.24 × 6,284.79
  4. Step 4: Simplify right side
    11,211.75x = 105,711,644.73
  5. Step 5: Solve for x
    x = 105,711,644.73/11,211.75
  6. Step 6: Final answer
    x = 9,428.65

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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.