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Finding the Fourth Proportional to 11,778.93, 16,254.84 and 6,401.34

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Solution

The fourth proportional to 11,778.93, 16,254.84 and 6,401.34 is: 8,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.93 : 16,254.84 = 6,401.34 : x
  2. Step 2: Convert to fraction form
    11,778.93/16,254.84 = 6,401.34/x
  3. Step 3: Cross multiply
    11,778.93x = 16,254.84 × 6,401.34
  4. Step 4: Simplify right side
    11,778.93x = 104,052,757.49
  5. Step 5: Solve for x
    x = 104,052,757.49/11,778.93
  6. Step 6: Final answer
    x = 8,833.80

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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.