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Finding the Fourth Proportional to 11,418.60, 15,757.63 and 6,382.82

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Solution

The fourth proportional to 11,418.60, 15,757.63 and 6,382.82 is: 8,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.60 : 15,757.63 = 6,382.82 : x
  2. Step 2: Convert to fraction form
    11,418.60/15,757.63 = 6,382.82/x
  3. Step 3: Cross multiply
    11,418.60x = 15,757.63 × 6,382.82
  4. Step 4: Simplify right side
    11,418.60x = 100,578,115.92
  5. Step 5: Solve for x
    x = 100,578,115.92/11,418.60
  6. Step 6: Final answer
    x = 8,808.27

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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.