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Finding the Fourth Proportional to 11,850.08, 16,352.16 and 6,814.04

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Solution

The fourth proportional to 11,850.08, 16,352.16 and 6,814.04 is: 9,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.08 : 16,352.16 = 6,814.04 : x
  2. Step 2: Convert to fraction form
    11,850.08/16,352.16 = 6,814.04/x
  3. Step 3: Cross multiply
    11,850.08x = 16,352.16 × 6,814.04
  4. Step 4: Simplify right side
    11,850.08x = 111,424,272.33
  5. Step 5: Solve for x
    x = 111,424,272.33/11,850.08
  6. Step 6: Final answer
    x = 9,402.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.