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Finding the Fourth Proportional to 11,450.11, 15,801.81 and 6,415.96

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Solution

The fourth proportional to 11,450.11, 15,801.81 and 6,415.96 is: 8,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.11 : 15,801.81 = 6,415.96 : x
  2. Step 2: Convert to fraction form
    11,450.11/15,801.81 = 6,415.96/x
  3. Step 3: Cross multiply
    11,450.11x = 15,801.81 × 6,415.96
  4. Step 4: Simplify right side
    11,450.11x = 101,383,701.63
  5. Step 5: Solve for x
    x = 101,383,701.63/11,450.11
  6. Step 6: Final answer
    x = 8,854.38

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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.