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Finding the Fourth Proportional to 7,540.22, 10,404.67 and 4,182.20

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Solution

The fourth proportional to 7,540.22, 10,404.67 and 4,182.20 is: 5,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.22 : 10,404.67 = 4,182.20 : x
  2. Step 2: Convert to fraction form
    7,540.22/10,404.67 = 4,182.20/x
  3. Step 3: Cross multiply
    7,540.22x = 10,404.67 × 4,182.20
  4. Step 4: Simplify right side
    7,540.22x = 43,514,337.94
  5. Step 5: Solve for x
    x = 43,514,337.94/7,540.22
  6. Step 6: Final answer
    x = 5,770.96

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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.