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Finding the Fourth Proportional to 7,256.16, 10,874.16 and 3,786.48

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Solution

The fourth proportional to 7,256.16, 10,874.16 and 3,786.48 is: 5,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.16 : 10,874.16 = 3,786.48 : x
  2. Step 2: Convert to fraction form
    7,256.16/10,874.16 = 3,786.48/x
  3. Step 3: Cross multiply
    7,256.16x = 10,874.16 × 3,786.48
  4. Step 4: Simplify right side
    7,256.16x = 41,174,789.36
  5. Step 5: Solve for x
    x = 41,174,789.36/7,256.16
  6. Step 6: Final answer
    x = 5,674.46

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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.