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Finding the Fourth Proportional to 11,681.36, 17,524.83 and 3,783.88

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Solution

The fourth proportional to 11,681.36, 17,524.83 and 3,783.88 is: 5,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.36 : 17,524.83 = 3,783.88 : x
  2. Step 2: Convert to fraction form
    11,681.36/17,524.83 = 3,783.88/x
  3. Step 3: Cross multiply
    11,681.36x = 17,524.83 × 3,783.88
  4. Step 4: Simplify right side
    11,681.36x = 66,311,747.20
  5. Step 5: Solve for x
    x = 66,311,747.20/11,681.36
  6. Step 6: Final answer
    x = 5,676.72

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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.