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Finding the Fourth Proportional to 8,450.25, 11,661.14 and 4,673.57

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Solution

The fourth proportional to 8,450.25, 11,661.14 and 4,673.57 is: 6,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.25 : 11,661.14 = 4,673.57 : x
  2. Step 2: Convert to fraction form
    8,450.25/11,661.14 = 4,673.57/x
  3. Step 3: Cross multiply
    8,450.25x = 11,661.14 × 4,673.57
  4. Step 4: Simplify right side
    8,450.25x = 54,499,072.40
  5. Step 5: Solve for x
    x = 54,499,072.40/8,450.25
  6. Step 6: Final answer
    x = 6,449.40

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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.