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Finding the Fourth Proportional to 10,756, 16,122.48 and 4,514.44

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Solution

The fourth proportional to 10,756, 16,122.48 and 4,514.44 is: 6,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756 : 16,122.48 = 4,514.44 : x
  2. Step 2: Convert to fraction form
    10,756/16,122.48 = 4,514.44/x
  3. Step 3: Cross multiply
    10,756x = 16,122.48 × 4,514.44
  4. Step 4: Simplify right side
    10,756x = 72,783,968.61
  5. Step 5: Solve for x
    x = 72,783,968.61/10,756
  6. Step 6: Final answer
    x = 6,766.82

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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.