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Finding the Fourth Proportional to 8,175.32, 11,287.32 and 5,528.84

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Solution

The fourth proportional to 8,175.32, 11,287.32 and 5,528.84 is: 7,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.32 : 11,287.32 = 5,528.84 : x
  2. Step 2: Convert to fraction form
    8,175.32/11,287.32 = 5,528.84/x
  3. Step 3: Cross multiply
    8,175.32x = 11,287.32 × 5,528.84
  4. Step 4: Simplify right side
    8,175.32x = 62,405,786.31
  5. Step 5: Solve for x
    x = 62,405,786.31/8,175.32
  6. Step 6: Final answer
    x = 7,633.44

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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.