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Finding the Fourth Proportional to 10,519.89, 14,503.44 and 8,720.61

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Solution

The fourth proportional to 10,519.89, 14,503.44 and 8,720.61 is: 12,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.89 : 14,503.44 = 8,720.61 : x
  2. Step 2: Convert to fraction form
    10,519.89/14,503.44 = 8,720.61/x
  3. Step 3: Cross multiply
    10,519.89x = 14,503.44 × 8,720.61
  4. Step 4: Simplify right side
    10,519.89x = 126,478,843.90
  5. Step 5: Solve for x
    x = 126,478,843.90/10,519.89
  6. Step 6: Final answer
    x = 12,022.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.