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Finding the Fourth Proportional to 8,514.22, 12,771.34 and 2,358.22

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Solution

The fourth proportional to 8,514.22, 12,771.34 and 2,358.22 is: 3,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.22 : 12,771.34 = 2,358.22 : x
  2. Step 2: Convert to fraction form
    8,514.22/12,771.34 = 2,358.22/x
  3. Step 3: Cross multiply
    8,514.22x = 12,771.34 × 2,358.22
  4. Step 4: Simplify right side
    8,514.22x = 30,117,629.41
  5. Step 5: Solve for x
    x = 30,117,629.41/8,514.22
  6. Step 6: Final answer
    x = 3,537.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.