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Finding the Fourth Proportional to 10,851.75, 16,279.74 and 4,611.69

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Solution

The fourth proportional to 10,851.75, 16,279.74 and 4,611.69 is: 6,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.75 : 16,279.74 = 4,611.69 : x
  2. Step 2: Convert to fraction form
    10,851.75/16,279.74 = 4,611.69/x
  3. Step 3: Cross multiply
    10,851.75x = 16,279.74 × 4,611.69
  4. Step 4: Simplify right side
    10,851.75x = 75,077,114.16
  5. Step 5: Solve for x
    x = 75,077,114.16/10,851.75
  6. Step 6: Final answer
    x = 6,918.43

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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.