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Finding the Fourth Proportional to 11,783.70, 16,261.77 and 6,406.44

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Solution

The fourth proportional to 11,783.70, 16,261.77 and 6,406.44 is: 8,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.70 : 16,261.77 = 6,406.44 : x
  2. Step 2: Convert to fraction form
    11,783.70/16,261.77 = 6,406.44/x
  3. Step 3: Cross multiply
    11,783.70x = 16,261.77 × 6,406.44
  4. Step 4: Simplify right side
    11,783.70x = 104,179,972.49
  5. Step 5: Solve for x
    x = 104,179,972.49/11,783.70
  6. Step 6: Final answer
    x = 8,841.03

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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.