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Finding the Fourth Proportional to 11,024.87, 16,539.12 and 5,107.67

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Solution

The fourth proportional to 11,024.87, 16,539.12 and 5,107.67 is: 7,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.87 : 16,539.12 = 5,107.67 : x
  2. Step 2: Convert to fraction form
    11,024.87/16,539.12 = 5,107.67/x
  3. Step 3: Cross multiply
    11,024.87x = 16,539.12 × 5,107.67
  4. Step 4: Simplify right side
    11,024.87x = 84,476,284.35
  5. Step 5: Solve for x
    x = 84,476,284.35/11,024.87
  6. Step 6: Final answer
    x = 7,662.34

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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.