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Finding the Fourth Proportional to 11,782.69, 17,676.63 and 3,884.89

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Solution

The fourth proportional to 11,782.69, 17,676.63 and 3,884.89 is: 5,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.69 : 17,676.63 = 3,884.89 : x
  2. Step 2: Convert to fraction form
    11,782.69/17,676.63 = 3,884.89/x
  3. Step 3: Cross multiply
    11,782.69x = 17,676.63 × 3,884.89
  4. Step 4: Simplify right side
    11,782.69x = 68,671,655.31
  5. Step 5: Solve for x
    x = 68,671,655.31/11,782.69
  6. Step 6: Final answer
    x = 5,828.18

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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.