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Finding the Fourth Proportional to 8,456.38, 11,673.08 and 7,570.65

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Solution

The fourth proportional to 8,456.38, 11,673.08 and 7,570.65 is: 10,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.38 : 11,673.08 = 7,570.65 : x
  2. Step 2: Convert to fraction form
    8,456.38/11,673.08 = 7,570.65/x
  3. Step 3: Cross multiply
    8,456.38x = 11,673.08 × 7,570.65
  4. Step 4: Simplify right side
    8,456.38x = 88,372,706.88
  5. Step 5: Solve for x
    x = 88,372,706.88/8,456.38
  6. Step 6: Final answer
    x = 10,450.42

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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.