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Finding the Fourth Proportional to 10,286.74, 15,418.41 and 6,393.82

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Solution

The fourth proportional to 10,286.74, 15,418.41 and 6,393.82 is: 9,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.74 : 15,418.41 = 6,393.82 : x
  2. Step 2: Convert to fraction form
    10,286.74/15,418.41 = 6,393.82/x
  3. Step 3: Cross multiply
    10,286.74x = 15,418.41 × 6,393.82
  4. Step 4: Simplify right side
    10,286.74x = 98,582,538.23
  5. Step 5: Solve for x
    x = 98,582,538.23/10,286.74
  6. Step 6: Final answer
    x = 9,583.46

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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.