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Finding the Fourth Proportional to 11,844.96, 16,345.74 and 7,806.84

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Solution

The fourth proportional to 11,844.96, 16,345.74 and 7,806.84 is: 10,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.96 : 16,345.74 = 7,806.84 : x
  2. Step 2: Convert to fraction form
    11,844.96/16,345.74 = 7,806.84/x
  3. Step 3: Cross multiply
    11,844.96x = 16,345.74 × 7,806.84
  4. Step 4: Simplify right side
    11,844.96x = 127,608,576.86
  5. Step 5: Solve for x
    x = 127,608,576.86/11,844.96
  6. Step 6: Final answer
    x = 10,773.24

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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.