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Finding the Fourth Proportional to 8,849.16, 13,272.16 and 2,524.47

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Solution

The fourth proportional to 8,849.16, 13,272.16 and 2,524.47 is: 3,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.16 : 13,272.16 = 2,524.47 : x
  2. Step 2: Convert to fraction form
    8,849.16/13,272.16 = 2,524.47/x
  3. Step 3: Cross multiply
    8,849.16x = 13,272.16 × 2,524.47
  4. Step 4: Simplify right side
    8,849.16x = 33,505,169.76
  5. Step 5: Solve for x
    x = 33,505,169.76/8,849.16
  6. Step 6: Final answer
    x = 3,786.26

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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.