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Finding the Fourth Proportional to 10,774.43, 16,146.90 and 8,139.77

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Solution

The fourth proportional to 10,774.43, 16,146.90 and 8,139.77 is: 12,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.43 : 16,146.90 = 8,139.77 : x
  2. Step 2: Convert to fraction form
    10,774.43/16,146.90 = 8,139.77/x
  3. Step 3: Cross multiply
    10,774.43x = 16,146.90 × 8,139.77
  4. Step 4: Simplify right side
    10,774.43x = 131,432,052.21
  5. Step 5: Solve for x
    x = 131,432,052.21/10,774.43
  6. Step 6: Final answer
    x = 12,198.52

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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.