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Finding the Fourth Proportional to 11,783.48, 17,676.43 and 3,883.68

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Solution

The fourth proportional to 11,783.48, 17,676.43 and 3,883.68 is: 5,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.48 : 17,676.43 = 3,883.68 : x
  2. Step 2: Convert to fraction form
    11,783.48/17,676.43 = 3,883.68/x
  3. Step 3: Cross multiply
    11,783.48x = 17,676.43 × 3,883.68
  4. Step 4: Simplify right side
    11,783.48x = 68,649,587.95
  5. Step 5: Solve for x
    x = 68,649,587.95/11,783.48
  6. Step 6: Final answer
    x = 5,825.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.