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Finding the Fourth Proportional to 11,418.57, 15,757.54 and 6,382.80

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Solution

The fourth proportional to 11,418.57, 15,757.54 and 6,382.80 is: 8,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.57 : 15,757.54 = 6,382.80 : x
  2. Step 2: Convert to fraction form
    11,418.57/15,757.54 = 6,382.80/x
  3. Step 3: Cross multiply
    11,418.57x = 15,757.54 × 6,382.80
  4. Step 4: Simplify right side
    11,418.57x = 100,577,210.36
  5. Step 5: Solve for x
    x = 100,577,210.36/11,418.57
  6. Step 6: Final answer
    x = 8,808.21

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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.