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Finding the Fourth Proportional to 11,850.39, 16,354.80 and 6,814.83

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Solution

The fourth proportional to 11,850.39, 16,354.80 and 6,814.83 is: 9,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.39 : 16,354.80 = 6,814.83 : x
  2. Step 2: Convert to fraction form
    11,850.39/16,354.80 = 6,814.83/x
  3. Step 3: Cross multiply
    11,850.39x = 16,354.80 × 6,814.83
  4. Step 4: Simplify right side
    11,850.39x = 111,455,181.68
  5. Step 5: Solve for x
    x = 111,455,181.68/11,850.39
  6. Step 6: Final answer
    x = 9,405.19

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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.