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Finding the Fourth Proportional to 8,511.96, 11,744.73 and 5,154.99

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Solution

The fourth proportional to 8,511.96, 11,744.73 and 5,154.99 is: 7,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.96 : 11,744.73 = 5,154.99 : x
  2. Step 2: Convert to fraction form
    8,511.96/11,744.73 = 5,154.99/x
  3. Step 3: Cross multiply
    8,511.96x = 11,744.73 × 5,154.99
  4. Step 4: Simplify right side
    8,511.96x = 60,543,965.70
  5. Step 5: Solve for x
    x = 60,543,965.70/8,511.96
  6. Step 6: Final answer
    x = 7,112.81

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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.