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Finding the Fourth Proportional to 8,514.60, 12,772.53 and 2,967.27

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Solution

The fourth proportional to 8,514.60, 12,772.53 and 2,967.27 is: 4,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.60 : 12,772.53 = 2,967.27 : x
  2. Step 2: Convert to fraction form
    8,514.60/12,772.53 = 2,967.27/x
  3. Step 3: Cross multiply
    8,514.60x = 12,772.53 × 2,967.27
  4. Step 4: Simplify right side
    8,514.60x = 37,899,545.09
  5. Step 5: Solve for x
    x = 37,899,545.09/8,514.60
  6. Step 6: Final answer
    x = 4,451.12

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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.