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Finding the Fourth Proportional to 8,514.44, 12,777.48 and 2,967.78

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Solution

The fourth proportional to 8,514.44, 12,777.48 and 2,967.78 is: 4,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.44 : 12,777.48 = 2,967.78 : x
  2. Step 2: Convert to fraction form
    8,514.44/12,777.48 = 2,967.78/x
  3. Step 3: Cross multiply
    8,514.44x = 12,777.48 × 2,967.78
  4. Step 4: Simplify right side
    8,514.44x = 37,920,734.76
  5. Step 5: Solve for x
    x = 37,920,734.76/8,514.44
  6. Step 6: Final answer
    x = 4,453.70

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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.