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Finding the Fourth Proportional to 8,175.36, 11,282.24 and 5,033.36

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Solution

The fourth proportional to 8,175.36, 11,282.24 and 5,033.36 is: 6,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.36 : 11,282.24 = 5,033.36 : x
  2. Step 2: Convert to fraction form
    8,175.36/11,282.24 = 5,033.36/x
  3. Step 3: Cross multiply
    8,175.36x = 11,282.24 × 5,033.36
  4. Step 4: Simplify right side
    8,175.36x = 56,787,575.53
  5. Step 5: Solve for x
    x = 56,787,575.53/8,175.36
  6. Step 6: Final answer
    x = 6,946.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.