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Finding the Fourth Proportional to 7,524.33, 11,279.06 and 3,568.65

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Solution

The fourth proportional to 7,524.33, 11,279.06 and 3,568.65 is: 5,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.33 : 11,279.06 = 3,568.65 : x
  2. Step 2: Convert to fraction form
    7,524.33/11,279.06 = 3,568.65/x
  3. Step 3: Cross multiply
    7,524.33x = 11,279.06 × 3,568.65
  4. Step 4: Simplify right side
    7,524.33x = 40,250,999.63
  5. Step 5: Solve for x
    x = 40,250,999.63/7,524.33
  6. Step 6: Final answer
    x = 5,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.