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Finding the Fourth Proportional to 11,418.97, 15,756.97 and 6,382.66

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Solution

The fourth proportional to 11,418.97, 15,756.97 and 6,382.66 is: 8,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.97 : 15,756.97 = 6,382.66 : x
  2. Step 2: Convert to fraction form
    11,418.97/15,756.97 = 6,382.66/x
  3. Step 3: Cross multiply
    11,418.97x = 15,756.97 × 6,382.66
  4. Step 4: Simplify right side
    11,418.97x = 100,571,382.14
  5. Step 5: Solve for x
    x = 100,571,382.14/11,418.97
  6. Step 6: Final answer
    x = 8,807.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.