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Finding the Fourth Proportional to 11,906.74, 16,433.04 and 6,871.78

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Solution

The fourth proportional to 11,906.74, 16,433.04 and 6,871.78 is: 9,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.74 : 16,433.04 = 6,871.78 : x
  2. Step 2: Convert to fraction form
    11,906.74/16,433.04 = 6,871.78/x
  3. Step 3: Cross multiply
    11,906.74x = 16,433.04 × 6,871.78
  4. Step 4: Simplify right side
    11,906.74x = 112,924,235.61
  5. Step 5: Solve for x
    x = 112,924,235.61/11,906.74
  6. Step 6: Final answer
    x = 9,484.06

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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.