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Finding the Fourth Proportional to 11,884.08, 16,405.56 and 7,693.68

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Solution

The fourth proportional to 11,884.08, 16,405.56 and 7,693.68 is: 10,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.08 : 16,405.56 = 7,693.68 : x
  2. Step 2: Convert to fraction form
    11,884.08/16,405.56 = 7,693.68/x
  3. Step 3: Cross multiply
    11,884.08x = 16,405.56 × 7,693.68
  4. Step 4: Simplify right side
    11,884.08x = 126,219,128.86
  5. Step 5: Solve for x
    x = 126,219,128.86/11,884.08
  6. Step 6: Final answer
    x = 10,620.86

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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.