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Finding the Fourth Proportional to 11,417.13, 15,757.13 and 6,382.39

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Solution

The fourth proportional to 11,417.13, 15,757.13 and 6,382.39 is: 8,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.13 : 15,757.13 = 6,382.39 : x
  2. Step 2: Convert to fraction form
    11,417.13/15,757.13 = 6,382.39/x
  3. Step 3: Cross multiply
    11,417.13x = 15,757.13 × 6,382.39
  4. Step 4: Simplify right side
    11,417.13x = 100,568,148.94
  5. Step 5: Solve for x
    x = 100,568,148.94/11,417.13
  6. Step 6: Final answer
    x = 8,808.53

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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.