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Finding the Fourth Proportional to 11,454.38, 15,806.96 and 6,418.64

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Solution

The fourth proportional to 11,454.38, 15,806.96 and 6,418.64 is: 8,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.38 : 15,806.96 = 6,418.64 : x
  2. Step 2: Convert to fraction form
    11,454.38/15,806.96 = 6,418.64/x
  3. Step 3: Cross multiply
    11,454.38x = 15,806.96 × 6,418.64
  4. Step 4: Simplify right side
    11,454.38x = 101,459,217.23
  5. Step 5: Solve for x
    x = 101,459,217.23/11,454.38
  6. Step 6: Final answer
    x = 8,857.68

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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.