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Finding the Fourth Proportional to 10,851.69, 16,278.09 and 3,456.72

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Solution

The fourth proportional to 10,851.69, 16,278.09 and 3,456.72 is: 5,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.69 : 16,278.09 = 3,456.72 : x
  2. Step 2: Convert to fraction form
    10,851.69/16,278.09 = 3,456.72/x
  3. Step 3: Cross multiply
    10,851.69x = 16,278.09 × 3,456.72
  4. Step 4: Simplify right side
    10,851.69x = 56,268,799.26
  5. Step 5: Solve for x
    x = 56,268,799.26/10,851.69
  6. Step 6: Final answer
    x = 5,185.26

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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.