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Finding the Fourth Proportional to 11,879.57, 16,386.63 and 7,846.43

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Solution

The fourth proportional to 11,879.57, 16,386.63 and 7,846.43 is: 10,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.57 : 16,386.63 = 7,846.43 : x
  2. Step 2: Convert to fraction form
    11,879.57/16,386.63 = 7,846.43/x
  3. Step 3: Cross multiply
    11,879.57x = 16,386.63 × 7,846.43
  4. Step 4: Simplify right side
    11,879.57x = 128,576,463.30
  5. Step 5: Solve for x
    x = 128,576,463.30/11,879.57
  6. Step 6: Final answer
    x = 10,823.33

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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.