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Finding the Fourth Proportional to 10,814.67, 16,221.78 and 5,915.43

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Solution

The fourth proportional to 10,814.67, 16,221.78 and 5,915.43 is: 8,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.67 : 16,221.78 = 5,915.43 : x
  2. Step 2: Convert to fraction form
    10,814.67/16,221.78 = 5,915.43/x
  3. Step 3: Cross multiply
    10,814.67x = 16,221.78 × 5,915.43
  4. Step 4: Simplify right side
    10,814.67x = 95,958,804.07
  5. Step 5: Solve for x
    x = 95,958,804.07/10,814.67
  6. Step 6: Final answer
    x = 8,873.02

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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.