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Finding the Fourth Proportional to 8,175.27, 11,281.71 and 4,590.31

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Solution

The fourth proportional to 8,175.27, 11,281.71 and 4,590.31 is: 6,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.27 : 11,281.71 = 4,590.31 : x
  2. Step 2: Convert to fraction form
    8,175.27/11,281.71 = 4,590.31/x
  3. Step 3: Cross multiply
    8,175.27x = 11,281.71 × 4,590.31
  4. Step 4: Simplify right side
    8,175.27x = 51,786,546.23
  5. Step 5: Solve for x
    x = 51,786,546.23/8,175.27
  6. Step 6: Final answer
    x = 6,334.54

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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.