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Finding the Fourth Proportional to 11,783.72, 16,260.72 and 6,747.68

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Solution

The fourth proportional to 11,783.72, 16,260.72 and 6,747.68 is: 9,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.72 : 16,260.72 = 6,747.68 : x
  2. Step 2: Convert to fraction form
    11,783.72/16,260.72 = 6,747.68/x
  3. Step 3: Cross multiply
    11,783.72x = 16,260.72 × 6,747.68
  4. Step 4: Simplify right side
    11,783.72x = 109,722,135.13
  5. Step 5: Solve for x
    x = 109,722,135.13/11,783.72
  6. Step 6: Final answer
    x = 9,311.33

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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.