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Finding the Fourth Proportional to 8,514.47, 12,771.71 and 2,358.47

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Solution

The fourth proportional to 8,514.47, 12,771.71 and 2,358.47 is: 3,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.47 : 12,771.71 = 2,358.47 : x
  2. Step 2: Convert to fraction form
    8,514.47/12,771.71 = 2,358.47/x
  3. Step 3: Cross multiply
    8,514.47x = 12,771.71 × 2,358.47
  4. Step 4: Simplify right side
    8,514.47x = 30,121,694.88
  5. Step 5: Solve for x
    x = 30,121,694.88/8,514.47
  6. Step 6: Final answer
    x = 3,537.71

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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.