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Finding the Fourth Proportional to 8,296, 11,448.48 and 4,570.08

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Solution

The fourth proportional to 8,296, 11,448.48 and 4,570.08 is: 6,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296 : 11,448.48 = 4,570.08 : x
  2. Step 2: Convert to fraction form
    8,296/11,448.48 = 4,570.08/x
  3. Step 3: Cross multiply
    8,296x = 11,448.48 × 4,570.08
  4. Step 4: Simplify right side
    8,296x = 52,320,469.48
  5. Step 5: Solve for x
    x = 52,320,469.48/8,296
  6. Step 6: Final answer
    x = 6,306.71

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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.