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Finding the Fourth Proportional to 8,514.14, 12,752.73 and 4,122.38

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Solution

The fourth proportional to 8,514.14, 12,752.73 and 4,122.38 is: 6,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.14 : 12,752.73 = 4,122.38 : x
  2. Step 2: Convert to fraction form
    8,514.14/12,752.73 = 4,122.38/x
  3. Step 3: Cross multiply
    8,514.14x = 12,752.73 × 4,122.38
  4. Step 4: Simplify right side
    8,514.14x = 52,571,535.33
  5. Step 5: Solve for x
    x = 52,571,535.33/8,514.14
  6. Step 6: Final answer
    x = 6,174.62

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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.