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Finding the Fourth Proportional to 8,672.14, 11,959.68 and 5,837.14

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Solution

The fourth proportional to 8,672.14, 11,959.68 and 5,837.14 is: 8,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.14 : 11,959.68 = 5,837.14 : x
  2. Step 2: Convert to fraction form
    8,672.14/11,959.68 = 5,837.14/x
  3. Step 3: Cross multiply
    8,672.14x = 11,959.68 × 5,837.14
  4. Step 4: Simplify right side
    8,672.14x = 69,810,326.52
  5. Step 5: Solve for x
    x = 69,810,326.52/8,672.14
  6. Step 6: Final answer
    x = 8,049.95

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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.