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Finding the Fourth Proportional to 7,717.57, 11,568.00 and 3,764.33

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Solution

The fourth proportional to 7,717.57, 11,568.00 and 3,764.33 is: 5,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.57 : 11,568.00 = 3,764.33 : x
  2. Step 2: Convert to fraction form
    7,717.57/11,568.00 = 3,764.33/x
  3. Step 3: Cross multiply
    7,717.57x = 11,568.00 × 3,764.33
  4. Step 4: Simplify right side
    7,717.57x = 43,545,750.62
  5. Step 5: Solve for x
    x = 43,545,750.62/7,717.57
  6. Step 6: Final answer
    x = 5,642.42

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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.