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Finding the Fourth Proportional to 11,906.64, 16,431.92 and 6,871.80

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Solution

The fourth proportional to 11,906.64, 16,431.92 and 6,871.80 is: 9,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.64 : 16,431.92 = 6,871.80 : x
  2. Step 2: Convert to fraction form
    11,906.64/16,431.92 = 6,871.80/x
  3. Step 3: Cross multiply
    11,906.64x = 16,431.92 × 6,871.80
  4. Step 4: Simplify right side
    11,906.64x = 112,916,867.86
  5. Step 5: Solve for x
    x = 112,916,867.86/11,906.64
  6. Step 6: Final answer
    x = 9,483.52

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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.