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Finding the Fourth Proportional to 11,682.78, 16,122.03 and 6,646.89

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Solution

The fourth proportional to 11,682.78, 16,122.03 and 6,646.89 is: 9,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.78 : 16,122.03 = 6,646.89 : x
  2. Step 2: Convert to fraction form
    11,682.78/16,122.03 = 6,646.89/x
  3. Step 3: Cross multiply
    11,682.78x = 16,122.03 × 6,646.89
  4. Step 4: Simplify right side
    11,682.78x = 107,161,420.44
  5. Step 5: Solve for x
    x = 107,161,420.44/11,682.78
  6. Step 6: Final answer
    x = 9,172.59

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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.