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Finding the Fourth Proportional to 8,412.33, 11,524.98 and 8,097.06

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Solution

The fourth proportional to 8,412.33, 11,524.98 and 8,097.06 is: 11,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.33 : 11,524.98 = 8,097.06 : x
  2. Step 2: Convert to fraction form
    8,412.33/11,524.98 = 8,097.06/x
  3. Step 3: Cross multiply
    8,412.33x = 11,524.98 × 8,097.06
  4. Step 4: Simplify right side
    8,412.33x = 93,318,454.56
  5. Step 5: Solve for x
    x = 93,318,454.56/8,412.33
  6. Step 6: Final answer
    x = 11,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.