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Finding the Fourth Proportional to 8,290.90, 11,441.49 and 4,514.07

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Solution

The fourth proportional to 8,290.90, 11,441.49 and 4,514.07 is: 6,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.90 : 11,441.49 = 4,514.07 : x
  2. Step 2: Convert to fraction form
    8,290.90/11,441.49 = 4,514.07/x
  3. Step 3: Cross multiply
    8,290.90x = 11,441.49 × 4,514.07
  4. Step 4: Simplify right side
    8,290.90x = 51,647,712.74
  5. Step 5: Solve for x
    x = 51,647,712.74/8,290.90
  6. Step 6: Final answer
    x = 6,229.44

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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.